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Finding the Fourth Proportional to 438,139.20, 657,208.80 and 171,908.40

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Solution

The fourth proportional to 438,139.20, 657,208.80 and 171,908.40 is: 257,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,139.20 : 657,208.80 = 171,908.40 : x
  2. Step 2: Convert to fraction form
    438,139.20/657,208.80 = 171,908.40/x
  3. Step 3: Cross multiply
    438,139.20x = 657,208.80 × 171,908.40
  4. Step 4: Simplify right side
    438,139.20x = 112,979,713,273.92
  5. Step 5: Solve for x
    x = 112,979,713,273.92/438,139.20
  6. Step 6: Final answer
    x = 257,862.60

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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.