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Finding the Fourth Proportional to 257,876.80, 386,815.20 and 235,715.20

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Solution

The fourth proportional to 257,876.80, 386,815.20 and 235,715.20 is: 353,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,876.80 : 386,815.20 = 235,715.20 : x
  2. Step 2: Convert to fraction form
    257,876.80/386,815.20 = 235,715.20/x
  3. Step 3: Cross multiply
    257,876.80x = 386,815.20 × 235,715.20
  4. Step 4: Simplify right side
    257,876.80x = 91,178,222,231.04
  5. Step 5: Solve for x
    x = 91,178,222,231.04/257,876.80
  6. Step 6: Final answer
    x = 353,572.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.