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Finding the Fourth Proportional to 438,833, 658,251.66 and 106,409

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Solution

The fourth proportional to 438,833, 658,251.66 and 106,409 is: 159,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,833 : 658,251.66 = 106,409 : x
  2. Step 2: Convert to fraction form
    438,833/658,251.66 = 106,409/x
  3. Step 3: Cross multiply
    438,833x = 658,251.66 × 106,409
  4. Step 4: Simplify right side
    438,833x = 70,043,900,888.94
  5. Step 5: Solve for x
    x = 70,043,900,888.94/438,833
  6. Step 6: Final answer
    x = 159,614.02

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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.