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Finding the Fourth Proportional to 438,989.64, 658,032.48 and 172,642.20

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Solution

The fourth proportional to 438,989.64, 658,032.48 and 172,642.20 is: 258,785.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,989.64 : 658,032.48 = 172,642.20 : x
  2. Step 2: Convert to fraction form
    438,989.64/658,032.48 = 172,642.20/x
  3. Step 3: Cross multiply
    438,989.64x = 658,032.48 × 172,642.20
  4. Step 4: Simplify right side
    438,989.64x = 113,604,175,018.66
  5. Step 5: Solve for x
    x = 113,604,175,018.66/438,989.64
  6. Step 6: Final answer
    x = 258,785.55

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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.