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Finding the Fourth Proportional to 438,489.20, 657,478.56 and 171,937.28

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Solution

The fourth proportional to 438,489.20, 657,478.56 and 171,937.28 is: 257,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,489.20 : 657,478.56 = 171,937.28 : x
  2. Step 2: Convert to fraction form
    438,489.20/657,478.56 = 171,937.28/x
  3. Step 3: Cross multiply
    438,489.20x = 657,478.56 × 171,937.28
  4. Step 4: Simplify right side
    438,489.20x = 113,045,075,264.72
  5. Step 5: Solve for x
    x = 113,045,075,264.72/438,489.20
  6. Step 6: Final answer
    x = 257,805.84

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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.