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Finding the Fourth Proportional to 438,272, 657,459.84 and 142,784

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Solution

The fourth proportional to 438,272, 657,459.84 and 142,784 is: 214,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,272 : 657,459.84 = 142,784 : x
  2. Step 2: Convert to fraction form
    438,272/657,459.84 = 142,784/x
  3. Step 3: Cross multiply
    438,272x = 657,459.84 × 142,784
  4. Step 4: Simplify right side
    438,272x = 93,874,745,794.56
  5. Step 5: Solve for x
    x = 93,874,745,794.56/438,272
  6. Step 6: Final answer
    x = 214,192.89

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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.