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Finding the Fourth Proportional to 438,002.98, 657,000.59 and 138,483.77

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Solution

The fourth proportional to 438,002.98, 657,000.59 and 138,483.77 is: 207,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,002.98 : 657,000.59 = 138,483.77 : x
  2. Step 2: Convert to fraction form
    438,002.98/657,000.59 = 138,483.77/x
  3. Step 3: Cross multiply
    438,002.98x = 657,000.59 × 138,483.77
  4. Step 4: Simplify right side
    438,002.98x = 90,983,914,618.00
  5. Step 5: Solve for x
    x = 90,983,914,618.00/438,002.98
  6. Step 6: Final answer
    x = 207,724.42

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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.