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Finding the Fourth Proportional to 392,062.40, 586,927.20 and 259,092.80

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Solution

The fourth proportional to 392,062.40, 586,927.20 and 259,092.80 is: 387,868.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,062.40 : 586,927.20 = 259,092.80 : x
  2. Step 2: Convert to fraction form
    392,062.40/586,927.20 = 259,092.80/x
  3. Step 3: Cross multiply
    392,062.40x = 586,927.20 × 259,092.80
  4. Step 4: Simplify right side
    392,062.40x = 152,068,611,644.16
  5. Step 5: Solve for x
    x = 152,068,611,644.16/392,062.40
  6. Step 6: Final answer
    x = 387,868.39

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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.