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Finding the Fourth Proportional to 296,659.64, 444,678.42 and 138,755

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Solution

The fourth proportional to 296,659.64, 444,678.42 and 138,755 is: 207,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,659.64 : 444,678.42 = 138,755 : x
  2. Step 2: Convert to fraction form
    296,659.64/444,678.42 = 138,755/x
  3. Step 3: Cross multiply
    296,659.64x = 444,678.42 × 138,755
  4. Step 4: Simplify right side
    296,659.64x = 61,701,354,167.10
  5. Step 5: Solve for x
    x = 61,701,354,167.10/296,659.64
  6. Step 6: Final answer
    x = 207,987.02

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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.