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Finding the Fourth Proportional to 375,084.52, 562,445.34 and 138,538.60

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Solution

The fourth proportional to 375,084.52, 562,445.34 and 138,538.60 is: 207,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,084.52 : 562,445.34 = 138,538.60 : x
  2. Step 2: Convert to fraction form
    375,084.52/562,445.34 = 138,538.60/x
  3. Step 3: Cross multiply
    375,084.52x = 562,445.34 × 138,538.60
  4. Step 4: Simplify right side
    375,084.52x = 77,920,389,980.12
  5. Step 5: Solve for x
    x = 77,920,389,980.12/375,084.52
  6. Step 6: Final answer
    x = 207,740.88

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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.