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Finding the Fourth Proportional to 438,426.30, 657,311.40 and 238,971.90

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Solution

The fourth proportional to 438,426.30, 657,311.40 and 238,971.90 is: 358,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,426.30 : 657,311.40 = 238,971.90 : x
  2. Step 2: Convert to fraction form
    438,426.30/657,311.40 = 238,971.90/x
  3. Step 3: Cross multiply
    438,426.30x = 657,311.40 × 238,971.90
  4. Step 4: Simplify right side
    438,426.30x = 157,078,954,149.66
  5. Step 5: Solve for x
    x = 157,078,954,149.66/438,426.30
  6. Step 6: Final answer
    x = 358,279.04

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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.