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Finding the Fourth Proportional to 427,185.76, 640,816.91 and 123,575.15

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Solution

The fourth proportional to 427,185.76, 640,816.91 and 123,575.15 is: 185,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,185.76 : 640,816.91 = 123,575.15 : x
  2. Step 2: Convert to fraction form
    427,185.76/640,816.91 = 123,575.15/x
  3. Step 3: Cross multiply
    427,185.76x = 640,816.91 × 123,575.15
  4. Step 4: Simplify right side
    427,185.76x = 79,189,045,775.79
  5. Step 5: Solve for x
    x = 79,189,045,775.79/427,185.76
  6. Step 6: Final answer
    x = 185,373.80

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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.