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Finding the Fourth Proportional to 647,471.10, 971,206.65 and 423,522.30

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Solution

The fourth proportional to 647,471.10, 971,206.65 and 423,522.30 is: 635,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,471.10 : 971,206.65 = 423,522.30 : x
  2. Step 2: Convert to fraction form
    647,471.10/971,206.65 = 423,522.30/x
  3. Step 3: Cross multiply
    647,471.10x = 971,206.65 × 423,522.30
  4. Step 4: Simplify right side
    647,471.10x = 411,327,674,183.30
  5. Step 5: Solve for x
    x = 411,327,674,183.30/647,471.10
  6. Step 6: Final answer
    x = 635,283.45

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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.