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Finding the Fourth Proportional to 288,309.52, 397,867 and 160,985.04

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Solution

The fourth proportional to 288,309.52, 397,867 and 160,985.04 is: 222,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,309.52 : 397,867 = 160,985.04 : x
  2. Step 2: Convert to fraction form
    288,309.52/397,867 = 160,985.04/x
  3. Step 3: Cross multiply
    288,309.52x = 397,867 × 160,985.04
  4. Step 4: Simplify right side
    288,309.52x = 64,050,634,909.68
  5. Step 5: Solve for x
    x = 64,050,634,909.68/288,309.52
  6. Step 6: Final answer
    x = 222,159.28

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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.