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Finding the Fourth Proportional to 549,414.80, 822,645.68 and 348,648.20

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Solution

The fourth proportional to 549,414.80, 822,645.68 and 348,648.20 is: 522,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,414.80 : 822,645.68 = 348,648.20 : x
  2. Step 2: Convert to fraction form
    549,414.80/822,645.68 = 348,648.20/x
  3. Step 3: Cross multiply
    549,414.80x = 822,645.68 × 348,648.20
  4. Step 4: Simplify right side
    549,414.80x = 286,813,934,759.37
  5. Step 5: Solve for x
    x = 286,813,934,759.37/549,414.80
  6. Step 6: Final answer
    x = 522,035.33

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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.