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Finding the Fourth Proportional to 499,032.90, 748,658.70 and 199,438.20

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Solution

The fourth proportional to 499,032.90, 748,658.70 and 199,438.20 is: 299,201.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,032.90 : 748,658.70 = 199,438.20 : x
  2. Step 2: Convert to fraction form
    499,032.90/748,658.70 = 199,438.20/x
  3. Step 3: Cross multiply
    499,032.90x = 748,658.70 × 199,438.20
  4. Step 4: Simplify right side
    499,032.90x = 149,311,143,542.34
  5. Step 5: Solve for x
    x = 149,311,143,542.34/499,032.90
  6. Step 6: Final answer
    x = 299,201.00

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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.