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Finding the Fourth Proportional to 235,914.40, 353,641.20 and 211,031.20

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Solution

The fourth proportional to 235,914.40, 353,641.20 and 211,031.20 is: 316,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,914.40 : 353,641.20 = 211,031.20 : x
  2. Step 2: Convert to fraction form
    235,914.40/353,641.20 = 211,031.20/x
  3. Step 3: Cross multiply
    235,914.40x = 353,641.20 × 211,031.20
  4. Step 4: Simplify right side
    235,914.40x = 74,629,326,805.44
  5. Step 5: Solve for x
    x = 74,629,326,805.44/235,914.40
  6. Step 6: Final answer
    x = 316,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.