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Finding the Fourth Proportional to 412,178.70, 618,153.84 and 145,904.16

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Solution

The fourth proportional to 412,178.70, 618,153.84 and 145,904.16 is: 218,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,178.70 : 618,153.84 = 145,904.16 : x
  2. Step 2: Convert to fraction form
    412,178.70/618,153.84 = 145,904.16/x
  3. Step 3: Cross multiply
    412,178.70x = 618,153.84 × 145,904.16
  4. Step 4: Simplify right side
    412,178.70x = 90,191,216,775.97
  5. Step 5: Solve for x
    x = 90,191,216,775.97/412,178.70
  6. Step 6: Final answer
    x = 218,815.81

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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.