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Finding the Fourth Proportional to 288,080.32, 397,570.80 and 160,780.72

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Solution

The fourth proportional to 288,080.32, 397,570.80 and 160,780.72 is: 221,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,080.32 : 397,570.80 = 160,780.72 : x
  2. Step 2: Convert to fraction form
    288,080.32/397,570.80 = 160,780.72/x
  3. Step 3: Cross multiply
    288,080.32x = 397,570.80 × 160,780.72
  4. Step 4: Simplify right side
    288,080.32x = 63,921,719,474.98
  5. Step 5: Solve for x
    x = 63,921,719,474.98/288,080.32
  6. Step 6: Final answer
    x = 221,888.53

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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.