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Finding the Fourth Proportional to 439,465.50, 659,197.64 and 288,614.90

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Solution

The fourth proportional to 439,465.50, 659,197.64 and 288,614.90 is: 432,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,465.50 : 659,197.64 = 288,614.90 : x
  2. Step 2: Convert to fraction form
    439,465.50/659,197.64 = 288,614.90/x
  3. Step 3: Cross multiply
    439,465.50x = 659,197.64 × 288,614.90
  4. Step 4: Simplify right side
    439,465.50x = 190,254,259,610.38
  5. Step 5: Solve for x
    x = 190,254,259,610.38/439,465.50
  6. Step 6: Final answer
    x = 432,921.95

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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.