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Finding the Fourth Proportional to 497,614.80, 686,726.73 and 282,790.92

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Solution

The fourth proportional to 497,614.80, 686,726.73 and 282,790.92 is: 390,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,614.80 : 686,726.73 = 282,790.92 : x
  2. Step 2: Convert to fraction form
    497,614.80/686,726.73 = 282,790.92/x
  3. Step 3: Cross multiply
    497,614.80x = 686,726.73 × 282,790.92
  4. Step 4: Simplify right side
    497,614.80x = 194,200,083,765.29
  5. Step 5: Solve for x
    x = 194,200,083,765.29/497,614.80
  6. Step 6: Final answer
    x = 390,261.87

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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.