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Finding the Fourth Proportional to 288,598.86, 398,260.58 and 159,542.78

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Solution

The fourth proportional to 288,598.86, 398,260.58 and 159,542.78 is: 220,165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,598.86 : 398,260.58 = 159,542.78 : x
  2. Step 2: Convert to fraction form
    288,598.86/398,260.58 = 159,542.78/x
  3. Step 3: Cross multiply
    288,598.86x = 398,260.58 × 159,542.78
  4. Step 4: Simplify right side
    288,598.86x = 63,539,597,308.60
  5. Step 5: Solve for x
    x = 63,539,597,308.60/288,598.86
  6. Step 6: Final answer
    x = 220,165.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.