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Finding the Fourth Proportional to 512,743.49, 707,603.51 and 321,862.13

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Solution

The fourth proportional to 512,743.49, 707,603.51 and 321,862.13 is: 444,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,743.49 : 707,603.51 = 321,862.13 : x
  2. Step 2: Convert to fraction form
    512,743.49/707,603.51 = 321,862.13/x
  3. Step 3: Cross multiply
    512,743.49x = 707,603.51 × 321,862.13
  4. Step 4: Simplify right side
    512,743.49x = 227,750,772,924.08
  5. Step 5: Solve for x
    x = 227,750,772,924.08/512,743.49
  6. Step 6: Final answer
    x = 444,180.72

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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.