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Finding the Fourth Proportional to 576,805.76, 865,308.28 and 257,071.22

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Solution

The fourth proportional to 576,805.76, 865,308.28 and 257,071.22 is: 385,651.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,805.76 : 865,308.28 = 257,071.22 : x
  2. Step 2: Convert to fraction form
    576,805.76/865,308.28 = 257,071.22/x
  3. Step 3: Cross multiply
    576,805.76x = 865,308.28 × 257,071.22
  4. Step 4: Simplify right side
    576,805.76x = 222,445,855,215.70
  5. Step 5: Solve for x
    x = 222,445,855,215.70/576,805.76
  6. Step 6: Final answer
    x = 385,651.24

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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.