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Finding the Fourth Proportional to 288,272.52, 432,488.08 and 138,638

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Solution

The fourth proportional to 288,272.52, 432,488.08 and 138,638 is: 207,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,272.52 : 432,488.08 = 138,638 : x
  2. Step 2: Convert to fraction form
    288,272.52/432,488.08 = 138,638/x
  3. Step 3: Cross multiply
    288,272.52x = 432,488.08 × 138,638
  4. Step 4: Simplify right side
    288,272.52x = 59,959,282,435.04
  5. Step 5: Solve for x
    x = 59,959,282,435.04/288,272.52
  6. Step 6: Final answer
    x = 207,995.14

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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.