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Finding the Fourth Proportional to 385,498.35, 577,915.11 and 185,958.90

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Solution

The fourth proportional to 385,498.35, 577,915.11 and 185,958.90 is: 278,778.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,498.35 : 577,915.11 = 185,958.90 : x
  2. Step 2: Convert to fraction form
    385,498.35/577,915.11 = 185,958.90/x
  3. Step 3: Cross multiply
    385,498.35x = 577,915.11 × 185,958.90
  4. Step 4: Simplify right side
    385,498.35x = 107,468,458,148.98
  5. Step 5: Solve for x
    x = 107,468,458,148.98/385,498.35
  6. Step 6: Final answer
    x = 278,778.00

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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.