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Finding the Fourth Proportional to 389,923.20, 586,051.20 and 338,601.60

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Solution

The fourth proportional to 389,923.20, 586,051.20 and 338,601.60 is: 508,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,923.20 : 586,051.20 = 338,601.60 : x
  2. Step 2: Convert to fraction form
    389,923.20/586,051.20 = 338,601.60/x
  3. Step 3: Cross multiply
    389,923.20x = 586,051.20 × 338,601.60
  4. Step 4: Simplify right side
    389,923.20x = 198,437,874,001.92
  5. Step 5: Solve for x
    x = 198,437,874,001.92/389,923.20
  6. Step 6: Final answer
    x = 508,915.28

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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.