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Finding the Fourth Proportional to 549,228, 757,946.16 and 310,764

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Solution

The fourth proportional to 549,228, 757,946.16 and 310,764 is: 428,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,228 : 757,946.16 = 310,764 : x
  2. Step 2: Convert to fraction form
    549,228/757,946.16 = 310,764/x
  3. Step 3: Cross multiply
    549,228x = 757,946.16 × 310,764
  4. Step 4: Simplify right side
    549,228x = 235,542,380,466.24
  5. Step 5: Solve for x
    x = 235,542,380,466.24/549,228
  6. Step 6: Final answer
    x = 428,860.84

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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.