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Finding the Fourth Proportional to 397,937.52, 549,646.92 and 288,867.78

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Solution

The fourth proportional to 397,937.52, 549,646.92 and 288,867.78 is: 398,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,937.52 : 549,646.92 = 288,867.78 : x
  2. Step 2: Convert to fraction form
    397,937.52/549,646.92 = 288,867.78/x
  3. Step 3: Cross multiply
    397,937.52x = 549,646.92 × 288,867.78
  4. Step 4: Simplify right side
    397,937.52x = 158,775,285,564.24
  5. Step 5: Solve for x
    x = 158,775,285,564.24/397,937.52
  6. Step 6: Final answer
    x = 398,995.51

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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.