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Finding the Fourth Proportional to 412,165.59, 618,337.13 and 127,850.42

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Solution

The fourth proportional to 412,165.59, 618,337.13 and 127,850.42 is: 191,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,165.59 : 618,337.13 = 127,850.42 : x
  2. Step 2: Convert to fraction form
    412,165.59/618,337.13 = 127,850.42/x
  3. Step 3: Cross multiply
    412,165.59x = 618,337.13 × 127,850.42
  4. Step 4: Simplify right side
    412,165.59x = 79,054,658,041.16
  5. Step 5: Solve for x
    x = 79,054,658,041.16/412,165.59
  6. Step 6: Final answer
    x = 191,803.15

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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.