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Finding the Fourth Proportional to 257,077.60, 385,708.84 and 114,911.06

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Solution

The fourth proportional to 257,077.60, 385,708.84 and 114,911.06 is: 172,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,077.60 : 385,708.84 = 114,911.06 : x
  2. Step 2: Convert to fraction form
    257,077.60/385,708.84 = 114,911.06/x
  3. Step 3: Cross multiply
    257,077.60x = 385,708.84 × 114,911.06
  4. Step 4: Simplify right side
    257,077.60x = 44,322,209,439.95
  5. Step 5: Solve for x
    x = 44,322,209,439.95/257,077.60
  6. Step 6: Final answer
    x = 172,407.90

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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.