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Finding the Fourth Proportional to 642,617.47, 965,126.82 and 565,707.73

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Solution

The fourth proportional to 642,617.47, 965,126.82 and 565,707.73 is: 849,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,617.47 : 965,126.82 = 565,707.73 : x
  2. Step 2: Convert to fraction form
    642,617.47/965,126.82 = 565,707.73/x
  3. Step 3: Cross multiply
    642,617.47x = 965,126.82 × 565,707.73
  4. Step 4: Simplify right side
    642,617.47x = 545,979,702,504.32
  5. Step 5: Solve for x
    x = 545,979,702,504.32/642,617.47
  6. Step 6: Final answer
    x = 849,618.52

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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.