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Finding the Fourth Proportional to 647,809.10, 971,713.65 and 204,577.10

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Solution

The fourth proportional to 647,809.10, 971,713.65 and 204,577.10 is: 306,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,809.10 : 971,713.65 = 204,577.10 : x
  2. Step 2: Convert to fraction form
    647,809.10/971,713.65 = 204,577.10/x
  3. Step 3: Cross multiply
    647,809.10x = 971,713.65 × 204,577.10
  4. Step 4: Simplify right side
    647,809.10x = 198,790,360,547.42
  5. Step 5: Solve for x
    x = 198,790,360,547.42/647,809.10
  6. Step 6: Final answer
    x = 306,865.65

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.