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Finding the Fourth Proportional to 385,862.76, 532,478.16 and 213,773.64

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Solution

The fourth proportional to 385,862.76, 532,478.16 and 213,773.64 is: 295,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,862.76 : 532,478.16 = 213,773.64 : x
  2. Step 2: Convert to fraction form
    385,862.76/532,478.16 = 213,773.64/x
  3. Step 3: Cross multiply
    385,862.76x = 532,478.16 × 213,773.64
  4. Step 4: Simplify right side
    385,862.76x = 113,829,794,483.70
  5. Step 5: Solve for x
    x = 113,829,794,483.70/385,862.76
  6. Step 6: Final answer
    x = 295,000.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.