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Finding the Fourth Proportional to 386,891.70, 533,032.29 and 299,375.91

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Solution

The fourth proportional to 386,891.70, 533,032.29 and 299,375.91 is: 412,459.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,891.70 : 533,032.29 = 299,375.91 : x
  2. Step 2: Convert to fraction form
    386,891.70/533,032.29 = 299,375.91/x
  3. Step 3: Cross multiply
    386,891.70x = 533,032.29 × 299,375.91
  4. Step 4: Simplify right side
    386,891.70x = 159,577,026,878.13
  5. Step 5: Solve for x
    x = 159,577,026,878.13/386,891.70
  6. Step 6: Final answer
    x = 412,459.16

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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.