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Finding the Fourth Proportional to 549,144.80, 822,842.40 and 407,427.20

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Solution

The fourth proportional to 549,144.80, 822,842.40 and 407,427.20 is: 610,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,144.80 : 822,842.40 = 407,427.20 : x
  2. Step 2: Convert to fraction form
    549,144.80/822,842.40 = 407,427.20/x
  3. Step 3: Cross multiply
    549,144.80x = 822,842.40 × 407,427.20
  4. Step 4: Simplify right side
    549,144.80x = 335,248,375,073.28
  5. Step 5: Solve for x
    x = 335,248,375,073.28/549,144.80
  6. Step 6: Final answer
    x = 610,491.76

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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.