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Finding the Fourth Proportional to 257,833.60, 386,750.40 and 254,334.40

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Solution

The fourth proportional to 257,833.60, 386,750.40 and 254,334.40 is: 381,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,833.60 : 386,750.40 = 254,334.40 : x
  2. Step 2: Convert to fraction form
    257,833.60/386,750.40 = 254,334.40/x
  3. Step 3: Cross multiply
    257,833.60x = 386,750.40 × 254,334.40
  4. Step 4: Simplify right side
    257,833.60x = 98,363,930,933.76
  5. Step 5: Solve for x
    x = 98,363,930,933.76/257,833.60
  6. Step 6: Final answer
    x = 381,501.60

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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.