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Finding the Fourth Proportional to 423,846.92, 634,920.96 and 255,272.96

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Solution

The fourth proportional to 423,846.92, 634,920.96 and 255,272.96 is: 382,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,846.92 : 634,920.96 = 255,272.96 : x
  2. Step 2: Convert to fraction form
    423,846.92/634,920.96 = 255,272.96/x
  3. Step 3: Cross multiply
    423,846.92x = 634,920.96 × 255,272.96
  4. Step 4: Simplify right side
    423,846.92x = 162,078,152,825.24
  5. Step 5: Solve for x
    x = 162,078,152,825.24/423,846.92
  6. Step 6: Final answer
    x = 382,397.85

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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.