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Finding the Fourth Proportional to 406,989.09, 610,543.78 and 140,678.10

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Solution

The fourth proportional to 406,989.09, 610,543.78 and 140,678.10 is: 211,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,989.09 : 610,543.78 = 140,678.10 : x
  2. Step 2: Convert to fraction form
    406,989.09/610,543.78 = 140,678.10/x
  3. Step 3: Cross multiply
    406,989.09x = 610,543.78 × 140,678.10
  4. Step 4: Simplify right side
    406,989.09x = 85,890,138,585.52
  5. Step 5: Solve for x
    x = 85,890,138,585.52/406,989.09
  6. Step 6: Final answer
    x = 211,037.94

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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.