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Finding the Fourth Proportional to 506,146.70, 698,461.17 and 291,294.20

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Solution

The fourth proportional to 506,146.70, 698,461.17 and 291,294.20 is: 401,973.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,146.70 : 698,461.17 = 291,294.20 : x
  2. Step 2: Convert to fraction form
    506,146.70/698,461.17 = 291,294.20/x
  3. Step 3: Cross multiply
    506,146.70x = 698,461.17 × 291,294.20
  4. Step 4: Simplify right side
    506,146.70x = 203,457,687,746.21
  5. Step 5: Solve for x
    x = 203,457,687,746.21/506,146.70
  6. Step 6: Final answer
    x = 401,973.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.