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Finding the Fourth Proportional to 438,052.80, 657,338.40 and 319,425.60

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Solution

The fourth proportional to 438,052.80, 657,338.40 and 319,425.60 is: 479,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,052.80 : 657,338.40 = 319,425.60 : x
  2. Step 2: Convert to fraction form
    438,052.80/657,338.40 = 319,425.60/x
  3. Step 3: Cross multiply
    438,052.80x = 657,338.40 × 319,425.60
  4. Step 4: Simplify right side
    438,052.80x = 209,970,712,823.04
  5. Step 5: Solve for x
    x = 209,970,712,823.04/438,052.80
  6. Step 6: Final answer
    x = 479,327.41

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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.