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Finding the Fourth Proportional to 438,321.60, 657,028.80 and 238,219.20

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Solution

The fourth proportional to 438,321.60, 657,028.80 and 238,219.20 is: 357,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,321.60 : 657,028.80 = 238,219.20 : x
  2. Step 2: Convert to fraction form
    438,321.60/657,028.80 = 238,219.20/x
  3. Step 3: Cross multiply
    438,321.60x = 657,028.80 × 238,219.20
  4. Step 4: Simplify right side
    438,321.60x = 156,516,875,112.96
  5. Step 5: Solve for x
    x = 156,516,875,112.96/438,321.60
  6. Step 6: Final answer
    x = 357,082.28

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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.