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Finding the Fourth Proportional to 213,200.80, 319,801.20 and 211,645.60

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Solution

The fourth proportional to 213,200.80, 319,801.20 and 211,645.60 is: 317,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,200.80 : 319,801.20 = 211,645.60 : x
  2. Step 2: Convert to fraction form
    213,200.80/319,801.20 = 211,645.60/x
  3. Step 3: Cross multiply
    213,200.80x = 319,801.20 × 211,645.60
  4. Step 4: Simplify right side
    213,200.80x = 67,684,516,854.72
  5. Step 5: Solve for x
    x = 67,684,516,854.72/213,200.80
  6. Step 6: Final answer
    x = 317,468.40

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1.5x scale

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.