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Finding the Fourth Proportional to 438,063.02, 657,092.64 and 171,635.40

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Solution

The fourth proportional to 438,063.02, 657,092.64 and 171,635.40 is: 257,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,063.02 : 657,092.64 = 171,635.40 : x
  2. Step 2: Convert to fraction form
    438,063.02/657,092.64 = 171,635.40/x
  3. Step 3: Cross multiply
    438,063.02x = 657,092.64 × 171,635.40
  4. Step 4: Simplify right side
    438,063.02x = 112,780,358,103.46
  5. Step 5: Solve for x
    x = 112,780,358,103.46/438,063.02
  6. Step 6: Final answer
    x = 257,452.36

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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.