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Finding the Fourth Proportional to 412,658.16, 619,080.12 and 146,418.18

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Solution

The fourth proportional to 412,658.16, 619,080.12 and 146,418.18 is: 219,660.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,658.16 : 619,080.12 = 146,418.18 : x
  2. Step 2: Convert to fraction form
    412,658.16/619,080.12 = 146,418.18/x
  3. Step 3: Cross multiply
    412,658.16x = 619,080.12 × 146,418.18
  4. Step 4: Simplify right side
    412,658.16x = 90,644,584,444.58
  5. Step 5: Solve for x
    x = 90,644,584,444.58/412,658.16
  6. Step 6: Final answer
    x = 219,660.23

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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.