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Finding the Fourth Proportional to 407,146.59, 610,761.78 and 140,906.70

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Solution

The fourth proportional to 407,146.59, 610,761.78 and 140,906.70 is: 211,374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,146.59 : 610,761.78 = 140,906.70 : x
  2. Step 2: Convert to fraction form
    407,146.59/610,761.78 = 140,906.70/x
  3. Step 3: Cross multiply
    407,146.59x = 610,761.78 × 140,906.70
  4. Step 4: Simplify right side
    407,146.59x = 86,060,426,905.93
  5. Step 5: Solve for x
    x = 86,060,426,905.93/407,146.59
  6. Step 6: Final answer
    x = 211,374.55

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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.