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Finding the Fourth Proportional to 549,487.56, 824,763.40 and 265,377.80

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Solution

The fourth proportional to 549,487.56, 824,763.40 and 265,377.80 is: 398,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,487.56 : 824,763.40 = 265,377.80 : x
  2. Step 2: Convert to fraction form
    549,487.56/824,763.40 = 265,377.80/x
  3. Step 3: Cross multiply
    549,487.56x = 824,763.40 × 265,377.80
  4. Step 4: Simplify right side
    549,487.56x = 218,873,898,010.98
  5. Step 5: Solve for x
    x = 218,873,898,010.98/549,487.56
  6. Step 6: Final answer
    x = 398,323.66

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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.