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Finding the Fourth Proportional to 549,229, 757,947.54 and 310,765

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Solution

The fourth proportional to 549,229, 757,947.54 and 310,765 is: 428,862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,229 : 757,947.54 = 310,765 : x
  2. Step 2: Convert to fraction form
    549,229/757,947.54 = 310,765/x
  3. Step 3: Cross multiply
    549,229x = 757,947.54 × 310,765
  4. Step 4: Simplify right side
    549,229x = 235,543,567,268.10
  5. Step 5: Solve for x
    x = 235,543,567,268.10/549,229
  6. Step 6: Final answer
    x = 428,862.22

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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.