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Finding the Fourth Proportional to 413,047.20, 618,793.20 and 212,685.60

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Solution

The fourth proportional to 413,047.20, 618,793.20 and 212,685.60 is: 318,628.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,047.20 : 618,793.20 = 212,685.60 : x
  2. Step 2: Convert to fraction form
    413,047.20/618,793.20 = 212,685.60/x
  3. Step 3: Cross multiply
    413,047.20x = 618,793.20 × 212,685.60
  4. Step 4: Simplify right side
    413,047.20x = 131,608,403,017.92
  5. Step 5: Solve for x
    x = 131,608,403,017.92/413,047.20
  6. Step 6: Final answer
    x = 318,628.00

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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.