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Finding the Fourth Proportional to 469,149.90, 647,411.12 and 278,049.84

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Solution

The fourth proportional to 469,149.90, 647,411.12 and 278,049.84 is: 383,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,149.90 : 647,411.12 = 278,049.84 : x
  2. Step 2: Convert to fraction form
    469,149.90/647,411.12 = 278,049.84/x
  3. Step 3: Cross multiply
    469,149.90x = 647,411.12 × 278,049.84
  4. Step 4: Simplify right side
    469,149.90x = 180,012,558,330.22
  5. Step 5: Solve for x
    x = 180,012,558,330.22/469,149.90
  6. Step 6: Final answer
    x = 383,699.45

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1.5x scale

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.