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Finding the Fourth Proportional to 438,842, 658,265.16 and 106,418

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Solution

The fourth proportional to 438,842, 658,265.16 and 106,418 is: 159,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,842 : 658,265.16 = 106,418 : x
  2. Step 2: Convert to fraction form
    438,842/658,265.16 = 106,418/x
  3. Step 3: Cross multiply
    438,842x = 658,265.16 × 106,418
  4. Step 4: Simplify right side
    438,842x = 70,051,261,796.88
  5. Step 5: Solve for x
    x = 70,051,261,796.88/438,842
  6. Step 6: Final answer
    x = 159,627.52

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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.