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Finding the Fourth Proportional to 647,718.04, 972,419 and 498,063.43

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Solution

The fourth proportional to 647,718.04, 972,419 and 498,063.43 is: 747,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,718.04 : 972,419 = 498,063.43 : x
  2. Step 2: Convert to fraction form
    647,718.04/972,419 = 498,063.43/x
  3. Step 3: Cross multiply
    647,718.04x = 972,419 × 498,063.43
  4. Step 4: Simplify right side
    647,718.04x = 484,326,342,537.17
  5. Step 5: Solve for x
    x = 484,326,342,537.17/647,718.04
  6. Step 6: Final answer
    x = 747,742.56

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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.