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Finding the Fourth Proportional to 230,488.26, 345,728.96 and 140,557.40

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Solution

The fourth proportional to 230,488.26, 345,728.96 and 140,557.40 is: 210,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,488.26 : 345,728.96 = 140,557.40 : x
  2. Step 2: Convert to fraction form
    230,488.26/345,728.96 = 140,557.40/x
  3. Step 3: Cross multiply
    230,488.26x = 345,728.96 × 140,557.40
  4. Step 4: Simplify right side
    230,488.26x = 48,594,763,722.30
  5. Step 5: Solve for x
    x = 48,594,763,722.30/230,488.26
  6. Step 6: Final answer
    x = 210,834.01

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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.