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Finding the Fourth Proportional to 469,470.85, 647,810.36 and 278,446.93

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Solution

The fourth proportional to 469,470.85, 647,810.36 and 278,446.93 is: 384,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,470.85 : 647,810.36 = 278,446.93 : x
  2. Step 2: Convert to fraction form
    469,470.85/647,810.36 = 278,446.93/x
  3. Step 3: Cross multiply
    469,470.85x = 647,810.36 × 278,446.93
  4. Step 4: Simplify right side
    469,470.85x = 180,380,803,996.61
  5. Step 5: Solve for x
    x = 180,380,803,996.61/469,470.85
  6. Step 6: Final answer
    x = 384,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.