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Finding the Fourth Proportional to 427,442.76, 589,614.02 and 282,249.88

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Solution

The fourth proportional to 427,442.76, 589,614.02 and 282,249.88 is: 389,335.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,442.76 : 589,614.02 = 282,249.88 : x
  2. Step 2: Convert to fraction form
    427,442.76/589,614.02 = 282,249.88/x
  3. Step 3: Cross multiply
    427,442.76x = 589,614.02 × 282,249.88
  4. Step 4: Simplify right side
    427,442.76x = 166,418,484,564.47
  5. Step 5: Solve for x
    x = 166,418,484,564.47/427,442.76
  6. Step 6: Final answer
    x = 389,335.13

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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.