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Finding the Fourth Proportional to 407,484.32, 611,230.68 and 123,177.20

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Solution

The fourth proportional to 407,484.32, 611,230.68 and 123,177.20 is: 184,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,484.32 : 611,230.68 = 123,177.20 : x
  2. Step 2: Convert to fraction form
    407,484.32/611,230.68 = 123,177.20/x
  3. Step 3: Cross multiply
    407,484.32x = 611,230.68 × 123,177.20
  4. Step 4: Simplify right side
    407,484.32x = 75,289,683,716.50
  5. Step 5: Solve for x
    x = 75,289,683,716.50/407,484.32
  6. Step 6: Final answer
    x = 184,767.07

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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.