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Finding the Fourth Proportional to 438,783, 658,174.50 and 106,359

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Solution

The fourth proportional to 438,783, 658,174.50 and 106,359 is: 159,538.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,783 : 658,174.50 = 106,359 : x
  2. Step 2: Convert to fraction form
    438,783/658,174.50 = 106,359/x
  3. Step 3: Cross multiply
    438,783x = 658,174.50 × 106,359
  4. Step 4: Simplify right side
    438,783x = 70,002,781,645.50
  5. Step 5: Solve for x
    x = 70,002,781,645.50/438,783
  6. Step 6: Final answer
    x = 159,538.50

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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.