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Finding the Fourth Proportional to 506,198.38, 698,729.69 and 291,424.05

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Solution

The fourth proportional to 506,198.38, 698,729.69 and 291,424.05 is: 402,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,198.38 : 698,729.69 = 291,424.05 : x
  2. Step 2: Convert to fraction form
    506,198.38/698,729.69 = 291,424.05/x
  3. Step 3: Cross multiply
    506,198.38x = 698,729.69 × 291,424.05
  4. Step 4: Simplify right side
    506,198.38x = 203,626,636,115.04
  5. Step 5: Solve for x
    x = 203,626,636,115.04/506,198.38
  6. Step 6: Final answer
    x = 402,266.47

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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.