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Finding the Fourth Proportional to 549,420.98, 824,412.76 and 261,558.42

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Solution

The fourth proportional to 549,420.98, 824,412.76 and 261,558.42 is: 392,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,420.98 : 824,412.76 = 261,558.42 : x
  2. Step 2: Convert to fraction form
    549,420.98/824,412.76 = 261,558.42/x
  3. Step 3: Cross multiply
    549,420.98x = 824,412.76 × 261,558.42
  4. Step 4: Simplify right side
    549,420.98x = 215,632,098,933.44
  5. Step 5: Solve for x
    x = 215,632,098,933.44/549,420.98
  6. Step 6: Final answer
    x = 392,471.54

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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.