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Finding the Fourth Proportional to 515,689.62, 711,663.94 and 289,351.86

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Solution

The fourth proportional to 515,689.62, 711,663.94 and 289,351.86 is: 399,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,689.62 : 711,663.94 = 289,351.86 : x
  2. Step 2: Convert to fraction form
    515,689.62/711,663.94 = 289,351.86/x
  3. Step 3: Cross multiply
    515,689.62x = 711,663.94 × 289,351.86
  4. Step 4: Simplify right side
    515,689.62x = 205,921,284,733.93
  5. Step 5: Solve for x
    x = 205,921,284,733.93/515,689.62
  6. Step 6: Final answer
    x = 399,312.45

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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.