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Finding the Fourth Proportional to 438,837, 658,257.66 and 106,413

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Solution

The fourth proportional to 438,837, 658,257.66 and 106,413 is: 159,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,837 : 658,257.66 = 106,413 : x
  2. Step 2: Convert to fraction form
    438,837/658,257.66 = 106,413/x
  3. Step 3: Cross multiply
    438,837x = 658,257.66 × 106,413
  4. Step 4: Simplify right side
    438,837x = 70,047,172,373.58
  5. Step 5: Solve for x
    x = 70,047,172,373.58/438,837
  6. Step 6: Final answer
    x = 159,620.02

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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.