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Finding the Fourth Proportional to 498,923.84, 748,453.12 and 161,854.40

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Solution

The fourth proportional to 498,923.84, 748,453.12 and 161,854.40 is: 242,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,923.84 : 748,453.12 = 161,854.40 : x
  2. Step 2: Convert to fraction form
    498,923.84/748,453.12 = 161,854.40/x
  3. Step 3: Cross multiply
    498,923.84x = 748,453.12 × 161,854.40
  4. Step 4: Simplify right side
    498,923.84x = 121,140,430,665.73
  5. Step 5: Solve for x
    x = 121,140,430,665.73/498,923.84
  6. Step 6: Final answer
    x = 242,803.45

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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.