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Finding the Fourth Proportional to 288,000.66, 397,441.16 and 160,676.29

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Solution

The fourth proportional to 288,000.66, 397,441.16 and 160,676.29 is: 221,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,000.66 : 397,441.16 = 160,676.29 : x
  2. Step 2: Convert to fraction form
    288,000.66/397,441.16 = 160,676.29/x
  3. Step 3: Cross multiply
    288,000.66x = 397,441.16 × 160,676.29
  4. Step 4: Simplify right side
    288,000.66x = 63,859,371,082.10
  5. Step 5: Solve for x
    x = 63,859,371,082.10/288,000.66
  6. Step 6: Final answer
    x = 221,733.42

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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.