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Finding the Fourth Proportional to 407,042.84, 610,657.26 and 140,803.16

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Solution

The fourth proportional to 407,042.84, 610,657.26 and 140,803.16 is: 211,236.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,042.84 : 610,657.26 = 140,803.16 : x
  2. Step 2: Convert to fraction form
    407,042.84/610,657.26 = 140,803.16/x
  3. Step 3: Cross multiply
    407,042.84x = 610,657.26 × 140,803.16
  4. Step 4: Simplify right side
    407,042.84x = 85,982,471,884.94
  5. Step 5: Solve for x
    x = 85,982,471,884.94/407,042.84
  6. Step 6: Final answer
    x = 211,236.91

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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.