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Finding the Fourth Proportional to 412,204.80, 618,307.20 and 145,963.20

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Solution

The fourth proportional to 412,204.80, 618,307.20 and 145,963.20 is: 218,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,204.80 : 618,307.20 = 145,963.20 : x
  2. Step 2: Convert to fraction form
    412,204.80/618,307.20 = 145,963.20/x
  3. Step 3: Cross multiply
    412,204.80x = 618,307.20 × 145,963.20
  4. Step 4: Simplify right side
    412,204.80x = 90,250,097,495.04
  5. Step 5: Solve for x
    x = 90,250,097,495.04/412,204.80
  6. Step 6: Final answer
    x = 218,944.80

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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.