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Finding the Fourth Proportional to 257,763.68, 386,798.60 and 139,432.40

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Solution

The fourth proportional to 257,763.68, 386,798.60 and 139,432.40 is: 209,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,763.68 : 386,798.60 = 139,432.40 : x
  2. Step 2: Convert to fraction form
    257,763.68/386,798.60 = 139,432.40/x
  3. Step 3: Cross multiply
    257,763.68x = 386,798.60 × 139,432.40
  4. Step 4: Simplify right side
    257,763.68x = 53,932,257,114.64
  5. Step 5: Solve for x
    x = 53,932,257,114.64/257,763.68
  6. Step 6: Final answer
    x = 209,231.41

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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.