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Finding the Fourth Proportional to 407,645.84, 611,002.20 and 158,114

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Solution

The fourth proportional to 407,645.84, 611,002.20 and 158,114 is: 236,990.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,645.84 : 611,002.20 = 158,114 : x
  2. Step 2: Convert to fraction form
    407,645.84/611,002.20 = 158,114/x
  3. Step 3: Cross multiply
    407,645.84x = 611,002.20 × 158,114
  4. Step 4: Simplify right side
    407,645.84x = 96,608,001,850.80
  5. Step 5: Solve for x
    x = 96,608,001,850.80/407,645.84
  6. Step 6: Final answer
    x = 236,990.03

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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.