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Finding the Fourth Proportional to 257,811.60, 386,717.40 and 254,312.40

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Solution

The fourth proportional to 257,811.60, 386,717.40 and 254,312.40 is: 381,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,811.60 : 386,717.40 = 254,312.40 : x
  2. Step 2: Convert to fraction form
    257,811.60/386,717.40 = 254,312.40/x
  3. Step 3: Cross multiply
    257,811.60x = 386,717.40 × 254,312.40
  4. Step 4: Simplify right side
    257,811.60x = 98,347,030,115.76
  5. Step 5: Solve for x
    x = 98,347,030,115.76/257,811.60
  6. Step 6: Final answer
    x = 381,468.60

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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.