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Finding the Fourth Proportional to 438,082.76, 657,124.14 and 171,968.60

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Solution

The fourth proportional to 438,082.76, 657,124.14 and 171,968.60 is: 257,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,082.76 : 657,124.14 = 171,968.60 : x
  2. Step 2: Convert to fraction form
    438,082.76/657,124.14 = 171,968.60/x
  3. Step 3: Cross multiply
    438,082.76x = 657,124.14 × 171,968.60
  4. Step 4: Simplify right side
    438,082.76x = 113,004,718,382.00
  5. Step 5: Solve for x
    x = 113,004,718,382.00/438,082.76
  6. Step 6: Final answer
    x = 257,952.90

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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.