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Finding the Fourth Proportional to 438,732.64, 657,962.88 and 158,213.44

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Solution

The fourth proportional to 438,732.64, 657,962.88 and 158,213.44 is: 237,271.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,732.64 : 657,962.88 = 158,213.44 : x
  2. Step 2: Convert to fraction form
    438,732.64/657,962.88 = 158,213.44/x
  3. Step 3: Cross multiply
    438,732.64x = 657,962.88 × 158,213.44
  4. Step 4: Simplify right side
    438,732.64x = 104,098,570,637.11
  5. Step 5: Solve for x
    x = 104,098,570,637.11/438,732.64
  6. Step 6: Final answer
    x = 237,271.09

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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.