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Finding the Fourth Proportional to 549,230, 757,948.92 and 310,766

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Solution

The fourth proportional to 549,230, 757,948.92 and 310,766 is: 428,863.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,230 : 757,948.92 = 310,766 : x
  2. Step 2: Convert to fraction form
    549,230/757,948.92 = 310,766/x
  3. Step 3: Cross multiply
    549,230x = 757,948.92 × 310,766
  4. Step 4: Simplify right side
    549,230x = 235,544,754,072.72
  5. Step 5: Solve for x
    x = 235,544,754,072.72/549,230
  6. Step 6: Final answer
    x = 428,863.60

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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.