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Finding the Fourth Proportional to 438,311.84, 657,543 and 138,787.52

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Solution

The fourth proportional to 438,311.84, 657,543 and 138,787.52 is: 208,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,311.84 : 657,543 = 138,787.52 : x
  2. Step 2: Convert to fraction form
    438,311.84/657,543 = 138,787.52/x
  3. Step 3: Cross multiply
    438,311.84x = 657,543 × 138,787.52
  4. Step 4: Simplify right side
    438,311.84x = 91,258,762,263.36
  5. Step 5: Solve for x
    x = 91,258,762,263.36/438,311.84
  6. Step 6: Final answer
    x = 208,205.10

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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.