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Finding the Fourth Proportional to 392,590.80, 588,281.40 and 292,280.40

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Solution

The fourth proportional to 392,590.80, 588,281.40 and 292,280.40 is: 437,970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,590.80 : 588,281.40 = 292,280.40 : x
  2. Step 2: Convert to fraction form
    392,590.80/588,281.40 = 292,280.40/x
  3. Step 3: Cross multiply
    392,590.80x = 588,281.40 × 292,280.40
  4. Step 4: Simplify right side
    392,590.80x = 171,943,122,904.56
  5. Step 5: Solve for x
    x = 171,943,122,904.56/392,590.80
  6. Step 6: Final answer
    x = 437,970.33

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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.