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Finding the Fourth Proportional to 441,002.30, 661,503.45 and 263,417.90

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Solution

The fourth proportional to 441,002.30, 661,503.45 and 263,417.90 is: 395,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,002.30 : 661,503.45 = 263,417.90 : x
  2. Step 2: Convert to fraction form
    441,002.30/661,503.45 = 263,417.90/x
  3. Step 3: Cross multiply
    441,002.30x = 661,503.45 × 263,417.90
  4. Step 4: Simplify right side
    441,002.30x = 174,251,849,641.76
  5. Step 5: Solve for x
    x = 174,251,849,641.76/441,002.30
  6. Step 6: Final answer
    x = 395,126.85

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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.