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Finding the Fourth Proportional to 438,176.60, 657,264.90 and 157,657.40

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Solution

The fourth proportional to 438,176.60, 657,264.90 and 157,657.40 is: 236,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,176.60 : 657,264.90 = 157,657.40 : x
  2. Step 2: Convert to fraction form
    438,176.60/657,264.90 = 157,657.40/x
  3. Step 3: Cross multiply
    438,176.60x = 657,264.90 × 157,657.40
  4. Step 4: Simplify right side
    438,176.60x = 103,622,675,245.26
  5. Step 5: Solve for x
    x = 103,622,675,245.26/438,176.60
  6. Step 6: Final answer
    x = 236,486.10

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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.