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Finding the Fourth Proportional to 438,436.80, 657,655.20 and 296,719.20

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Solution

The fourth proportional to 438,436.80, 657,655.20 and 296,719.20 is: 445,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,436.80 : 657,655.20 = 296,719.20 : x
  2. Step 2: Convert to fraction form
    438,436.80/657,655.20 = 296,719.20/x
  3. Step 3: Cross multiply
    438,436.80x = 657,655.20 × 296,719.20
  4. Step 4: Simplify right side
    438,436.80x = 195,138,924,819.84
  5. Step 5: Solve for x
    x = 195,138,924,819.84/438,436.80
  6. Step 6: Final answer
    x = 445,078.80

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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.