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Finding the Fourth Proportional to 478,222.20, 659,704.50 and 297,041.40

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Solution

The fourth proportional to 478,222.20, 659,704.50 and 297,041.40 is: 409,766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,222.20 : 659,704.50 = 297,041.40 : x
  2. Step 2: Convert to fraction form
    478,222.20/659,704.50 = 297,041.40/x
  3. Step 3: Cross multiply
    478,222.20x = 659,704.50 × 297,041.40
  4. Step 4: Simplify right side
    478,222.20x = 195,959,548,266.30
  5. Step 5: Solve for x
    x = 195,959,548,266.30/478,222.20
  6. Step 6: Final answer
    x = 409,766.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.