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Finding the Fourth Proportional to 499,561.60, 749,145.20 and 199,986.40

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Solution

The fourth proportional to 499,561.60, 749,145.20 and 199,986.40 is: 299,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,561.60 : 749,145.20 = 199,986.40 : x
  2. Step 2: Convert to fraction form
    499,561.60/749,145.20 = 199,986.40/x
  3. Step 3: Cross multiply
    499,561.60x = 749,145.20 × 199,986.40
  4. Step 4: Simplify right side
    499,561.60x = 149,818,851,625.28
  5. Step 5: Solve for x
    x = 149,818,851,625.28/499,561.60
  6. Step 6: Final answer
    x = 299,900.66

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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.