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Finding the Fourth Proportional to 745,956, 1,029,406.20 and 406,426.64

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Solution

The fourth proportional to 745,956, 1,029,406.20 and 406,426.64 is: 560,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,956 : 1,029,406.20 = 406,426.64 : x
  2. Step 2: Convert to fraction form
    745,956/1,029,406.20 = 406,426.64/x
  3. Step 3: Cross multiply
    745,956x = 1,029,406.20 × 406,426.64
  4. Step 4: Simplify right side
    745,956x = 418,378,103,061.17
  5. Step 5: Solve for x
    x = 418,378,103,061.17/745,956
  6. Step 6: Final answer
    x = 560,861.64

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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.