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Finding the Fourth Proportional to 289,371.90, 399,323.91 and 160,305.12

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Solution

The fourth proportional to 289,371.90, 399,323.91 and 160,305.12 is: 221,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,371.90 : 399,323.91 = 160,305.12 : x
  2. Step 2: Convert to fraction form
    289,371.90/399,323.91 = 160,305.12/x
  3. Step 3: Cross multiply
    289,371.90x = 399,323.91 × 160,305.12
  4. Step 4: Simplify right side
    289,371.90x = 64,013,667,311.42
  5. Step 5: Solve for x
    x = 64,013,667,311.42/289,371.90
  6. Step 6: Final answer
    x = 221,215.91

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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.