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Finding the Fourth Proportional to 288,043.72, 397,500.09 and 160,719.32

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Solution

The fourth proportional to 288,043.72, 397,500.09 and 160,719.32 is: 221,792.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,043.72 : 397,500.09 = 160,719.32 : x
  2. Step 2: Convert to fraction form
    288,043.72/397,500.09 = 160,719.32/x
  3. Step 3: Cross multiply
    288,043.72x = 397,500.09 × 160,719.32
  4. Step 4: Simplify right side
    288,043.72x = 63,885,944,164.74
  5. Step 5: Solve for x
    x = 63,885,944,164.74/288,043.72
  6. Step 6: Final answer
    x = 221,792.53

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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.