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Finding the Fourth Proportional to 549,222, 757,937.88 and 310,758

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Solution

The fourth proportional to 549,222, 757,937.88 and 310,758 is: 428,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,222 : 757,937.88 = 310,758 : x
  2. Step 2: Convert to fraction form
    549,222/757,937.88 = 310,758/x
  3. Step 3: Cross multiply
    549,222x = 757,937.88 × 310,758
  4. Step 4: Simplify right side
    549,222x = 235,535,259,713.04
  5. Step 5: Solve for x
    x = 235,535,259,713.04/549,222
  6. Step 6: Final answer
    x = 428,852.56

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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.