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Finding the Fourth Proportional to 468,520.65, 647,648.06 and 418,033.76

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Solution

The fourth proportional to 468,520.65, 647,648.06 and 418,033.76 is: 577,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,520.65 : 647,648.06 = 418,033.76 : x
  2. Step 2: Convert to fraction form
    468,520.65/647,648.06 = 418,033.76/x
  3. Step 3: Cross multiply
    468,520.65x = 647,648.06 × 418,033.76
  4. Step 4: Simplify right side
    468,520.65x = 270,738,748,350.10
  5. Step 5: Solve for x
    x = 270,738,748,350.10/468,520.65
  6. Step 6: Final answer
    x = 577,858.73

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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.