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Finding the Fourth Proportional to 515,705.49, 711,685.85 and 289,367.73

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Solution

The fourth proportional to 515,705.49, 711,685.85 and 289,367.73 is: 399,334.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,705.49 : 711,685.85 = 289,367.73 : x
  2. Step 2: Convert to fraction form
    515,705.49/711,685.85 = 289,367.73/x
  3. Step 3: Cross multiply
    515,705.49x = 711,685.85 × 289,367.73
  4. Step 4: Simplify right side
    515,705.49x = 205,938,917,440.78
  5. Step 5: Solve for x
    x = 205,938,917,440.78/515,705.49
  6. Step 6: Final answer
    x = 399,334.35

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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.