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Finding the Fourth Proportional to 288,018.56, 397,465.72 and 160,691.42

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Solution

The fourth proportional to 288,018.56, 397,465.72 and 160,691.42 is: 221,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,018.56 : 397,465.72 = 160,691.42 : x
  2. Step 2: Convert to fraction form
    288,018.56/397,465.72 = 160,691.42/x
  3. Step 3: Cross multiply
    288,018.56x = 397,465.72 × 160,691.42
  4. Step 4: Simplify right side
    288,018.56x = 63,869,330,948.12
  5. Step 5: Solve for x
    x = 63,869,330,948.12/288,018.56
  6. Step 6: Final answer
    x = 221,754.22

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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.