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Finding the Fourth Proportional to 397,988.56, 549,262.96 and 297,211.60

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Solution

The fourth proportional to 397,988.56, 549,262.96 and 297,211.60 is: 410,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,988.56 : 549,262.96 = 297,211.60 : x
  2. Step 2: Convert to fraction form
    397,988.56/549,262.96 = 297,211.60/x
  3. Step 3: Cross multiply
    397,988.56x = 549,262.96 × 297,211.60
  4. Step 4: Simplify right side
    397,988.56x = 163,247,323,162.34
  5. Step 5: Solve for x
    x = 163,247,323,162.34/397,988.56
  6. Step 6: Final answer
    x = 410,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.