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Finding the Fourth Proportional to 655,615.20, 983,811.60 and 431,617.80

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Solution

The fourth proportional to 655,615.20, 983,811.60 and 431,617.80 is: 647,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,615.20 : 983,811.60 = 431,617.80 : x
  2. Step 2: Convert to fraction form
    655,615.20/983,811.60 = 431,617.80/x
  3. Step 3: Cross multiply
    655,615.20x = 983,811.60 × 431,617.80
  4. Step 4: Simplify right side
    655,615.20x = 424,630,598,406.48
  5. Step 5: Solve for x
    x = 424,630,598,406.48/655,615.20
  6. Step 6: Final answer
    x = 647,682.66

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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.