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Finding the Fourth Proportional to 515,701.74, 711,680.67 and 289,363.98

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Solution

The fourth proportional to 515,701.74, 711,680.67 and 289,363.98 is: 399,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,701.74 : 711,680.67 = 289,363.98 : x
  2. Step 2: Convert to fraction form
    515,701.74/711,680.67 = 289,363.98/x
  3. Step 3: Cross multiply
    515,701.74x = 711,680.67 × 289,363.98
  4. Step 4: Simplify right side
    515,701.74x = 205,934,751,160.27
  5. Step 5: Solve for x
    x = 205,934,751,160.27/515,701.74
  6. Step 6: Final answer
    x = 399,329.18

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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.