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Finding the Fourth Proportional to 647,355, 971,032.50 and 204,123

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Solution

The fourth proportional to 647,355, 971,032.50 and 204,123 is: 306,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,355 : 971,032.50 = 204,123 : x
  2. Step 2: Convert to fraction form
    647,355/971,032.50 = 204,123/x
  3. Step 3: Cross multiply
    647,355x = 971,032.50 × 204,123
  4. Step 4: Simplify right side
    647,355x = 198,210,066,997.50
  5. Step 5: Solve for x
    x = 198,210,066,997.50/647,355
  6. Step 6: Final answer
    x = 306,184.50

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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.