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Finding the Fourth Proportional to 506,532.12, 699,005.70 and 280,177.44

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Solution

The fourth proportional to 506,532.12, 699,005.70 and 280,177.44 is: 386,640.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,532.12 : 699,005.70 = 280,177.44 : x
  2. Step 2: Convert to fraction form
    506,532.12/699,005.70 = 280,177.44/x
  3. Step 3: Cross multiply
    506,532.12x = 699,005.70 × 280,177.44
  4. Step 4: Simplify right side
    506,532.12x = 195,845,627,571.41
  5. Step 5: Solve for x
    x = 195,845,627,571.41/506,532.12
  6. Step 6: Final answer
    x = 386,640.10

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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.