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Finding the Fourth Proportional to 438,302.20, 656,141.10 and 260,717.80

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Solution

The fourth proportional to 438,302.20, 656,141.10 and 260,717.80 is: 390,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,302.20 : 656,141.10 = 260,717.80 : x
  2. Step 2: Convert to fraction form
    438,302.20/656,141.10 = 260,717.80/x
  3. Step 3: Cross multiply
    438,302.20x = 656,141.10 × 260,717.80
  4. Step 4: Simplify right side
    438,302.20x = 171,067,664,081.58
  5. Step 5: Solve for x
    x = 171,067,664,081.58/438,302.20
  6. Step 6: Final answer
    x = 390,296.16

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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.