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Finding the Fourth Proportional to 412,277.80, 618,351.90 and 146,000.20

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Solution

The fourth proportional to 412,277.80, 618,351.90 and 146,000.20 is: 218,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,277.80 : 618,351.90 = 146,000.20 : x
  2. Step 2: Convert to fraction form
    412,277.80/618,351.90 = 146,000.20/x
  3. Step 3: Cross multiply
    412,277.80x = 618,351.90 × 146,000.20
  4. Step 4: Simplify right side
    412,277.80x = 90,279,501,070.38
  5. Step 5: Solve for x
    x = 90,279,501,070.38/412,277.80
  6. Step 6: Final answer
    x = 218,977.35

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1.5x scale

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.