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Finding the Fourth Proportional to 438,266.60, 657,659.10 and 157,747.40

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Solution

The fourth proportional to 438,266.60, 657,659.10 and 157,747.40 is: 236,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,266.60 : 657,659.10 = 157,747.40 : x
  2. Step 2: Convert to fraction form
    438,266.60/657,659.10 = 157,747.40/x
  3. Step 3: Cross multiply
    438,266.60x = 657,659.10 × 157,747.40
  4. Step 4: Simplify right side
    438,266.60x = 103,744,013,111.34
  5. Step 5: Solve for x
    x = 103,744,013,111.34/438,266.60
  6. Step 6: Final answer
    x = 236,714.40

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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.