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Finding the Fourth Proportional to 465,437.96, 698,143.00 and 128,499.18

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Solution

The fourth proportional to 465,437.96, 698,143.00 and 128,499.18 is: 192,744.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,437.96 : 698,143.00 = 128,499.18 : x
  2. Step 2: Convert to fraction form
    465,437.96/698,143.00 = 128,499.18/x
  3. Step 3: Cross multiply
    465,437.96x = 698,143.00 × 128,499.18
  4. Step 4: Simplify right side
    465,437.96x = 89,710,800,324.39
  5. Step 5: Solve for x
    x = 89,710,800,324.39/465,437.96
  6. Step 6: Final answer
    x = 192,744.91

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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.