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Finding the Fourth Proportional to 515,707.49, 711,688.61 and 289,369.73

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Solution

The fourth proportional to 515,707.49, 711,688.61 and 289,369.73 is: 399,337.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,707.49 : 711,688.61 = 289,369.73 : x
  2. Step 2: Convert to fraction form
    515,707.49/711,688.61 = 289,369.73/x
  3. Step 3: Cross multiply
    515,707.49x = 711,688.61 × 289,369.73
  4. Step 4: Simplify right side
    515,707.49x = 205,941,140,919.78
  5. Step 5: Solve for x
    x = 205,941,140,919.78/515,707.49
  6. Step 6: Final answer
    x = 399,337.11

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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.