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Finding the Fourth Proportional to 402,123.20, 602,493.60 and 261,809.60

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Solution

The fourth proportional to 402,123.20, 602,493.60 and 261,809.60 is: 392,264.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,123.20 : 602,493.60 = 261,809.60 : x
  2. Step 2: Convert to fraction form
    402,123.20/602,493.60 = 261,809.60/x
  3. Step 3: Cross multiply
    402,123.20x = 602,493.60 × 261,809.60
  4. Step 4: Simplify right side
    402,123.20x = 157,738,608,418.56
  5. Step 5: Solve for x
    x = 157,738,608,418.56/402,123.20
  6. Step 6: Final answer
    x = 392,264.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.