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Finding the Fourth Proportional to 509,733.86, 702,729.05 and 406,717.97

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Solution

The fourth proportional to 509,733.86, 702,729.05 and 406,717.97 is: 560,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,733.86 : 702,729.05 = 406,717.97 : x
  2. Step 2: Convert to fraction form
    509,733.86/702,729.05 = 406,717.97/x
  3. Step 3: Cross multiply
    509,733.86x = 702,729.05 × 406,717.97
  4. Step 4: Simplify right side
    509,733.86x = 285,812,527,128.79
  5. Step 5: Solve for x
    x = 285,812,527,128.79/509,733.86
  6. Step 6: Final answer
    x = 560,709.33

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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.