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Finding the Fourth Proportional to 385,008.81, 577,469.08 and 100,726.80

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Solution

The fourth proportional to 385,008.81, 577,469.08 and 100,726.80 is: 151,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,008.81 : 577,469.08 = 100,726.80 : x
  2. Step 2: Convert to fraction form
    385,008.81/577,469.08 = 100,726.80/x
  3. Step 3: Cross multiply
    385,008.81x = 577,469.08 × 100,726.80
  4. Step 4: Simplify right side
    385,008.81x = 58,166,612,527.34
  5. Step 5: Solve for x
    x = 58,166,612,527.34/385,008.81
  6. Step 6: Final answer
    x = 151,078.65

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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.