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Finding the Fourth Proportional to 431,840.66, 647,834.68 and 147,515.54

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Solution

The fourth proportional to 431,840.66, 647,834.68 and 147,515.54 is: 221,298.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,840.66 : 647,834.68 = 147,515.54 : x
  2. Step 2: Convert to fraction form
    431,840.66/647,834.68 = 147,515.54/x
  3. Step 3: Cross multiply
    431,840.66x = 647,834.68 × 147,515.54
  4. Step 4: Simplify right side
    431,840.66x = 95,565,682,650.93
  5. Step 5: Solve for x
    x = 95,565,682,650.93/431,840.66
  6. Step 6: Final answer
    x = 221,298.48

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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.