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Finding the Fourth Proportional to 408,778.47, 563,529.65 and 287,543.47

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Solution

The fourth proportional to 408,778.47, 563,529.65 and 287,543.47 is: 396,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,778.47 : 563,529.65 = 287,543.47 : x
  2. Step 2: Convert to fraction form
    408,778.47/563,529.65 = 287,543.47/x
  3. Step 3: Cross multiply
    408,778.47x = 563,529.65 × 287,543.47
  4. Step 4: Simplify right side
    408,778.47x = 162,039,271,008.89
  5. Step 5: Solve for x
    x = 162,039,271,008.89/408,778.47
  6. Step 6: Final answer
    x = 396,398.74

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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.