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Finding the Fourth Proportional to 465,431.04, 698,186.64 and 128,471.76

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Solution

The fourth proportional to 465,431.04, 698,186.64 and 128,471.76 is: 192,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,431.04 : 698,186.64 = 128,471.76 : x
  2. Step 2: Convert to fraction form
    465,431.04/698,186.64 = 128,471.76/x
  3. Step 3: Cross multiply
    465,431.04x = 698,186.64 × 128,471.76
  4. Step 4: Simplify right side
    465,431.04x = 89,697,266,449.29
  5. Step 5: Solve for x
    x = 89,697,266,449.29/465,431.04
  6. Step 6: Final answer
    x = 192,718.70

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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.