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Finding the Fourth Proportional to 385,314.60, 577,895.10 and 185,634.60

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Solution

The fourth proportional to 385,314.60, 577,895.10 and 185,634.60 is: 278,414.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,314.60 : 577,895.10 = 185,634.60 : x
  2. Step 2: Convert to fraction form
    385,314.60/577,895.10 = 185,634.60/x
  3. Step 3: Cross multiply
    385,314.60x = 577,895.10 × 185,634.60
  4. Step 4: Simplify right side
    385,314.60x = 107,277,325,730.46
  5. Step 5: Solve for x
    x = 107,277,325,730.46/385,314.60
  6. Step 6: Final answer
    x = 278,414.90

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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.