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Finding the Fourth Proportional to 439,549.83, 659,288.30 and 140,018.31

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Solution

The fourth proportional to 439,549.83, 659,288.30 and 140,018.31 is: 210,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,549.83 : 659,288.30 = 140,018.31 : x
  2. Step 2: Convert to fraction form
    439,549.83/659,288.30 = 140,018.31/x
  3. Step 3: Cross multiply
    439,549.83x = 659,288.30 × 140,018.31
  4. Step 4: Simplify right side
    439,549.83x = 92,312,432,868.68
  5. Step 5: Solve for x
    x = 92,312,432,868.68/439,549.83
  6. Step 6: Final answer
    x = 210,015.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.