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Finding the Fourth Proportional to 257,125.60, 385,688.40 and 251,876.80

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Solution

The fourth proportional to 257,125.60, 385,688.40 and 251,876.80 is: 377,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,125.60 : 385,688.40 = 251,876.80 : x
  2. Step 2: Convert to fraction form
    257,125.60/385,688.40 = 251,876.80/x
  3. Step 3: Cross multiply
    257,125.60x = 385,688.40 × 251,876.80
  4. Step 4: Simplify right side
    257,125.60x = 97,145,959,989.12
  5. Step 5: Solve for x
    x = 97,145,959,989.12/257,125.60
  6. Step 6: Final answer
    x = 377,815.20

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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.