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Finding the Fourth Proportional to 213,196.80, 319,795.20 and 211,641.60

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Solution

The fourth proportional to 213,196.80, 319,795.20 and 211,641.60 is: 317,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,196.80 : 319,795.20 = 211,641.60 : x
  2. Step 2: Convert to fraction form
    213,196.80/319,795.20 = 211,641.60/x
  3. Step 3: Cross multiply
    213,196.80x = 319,795.20 × 211,641.60
  4. Step 4: Simplify right side
    213,196.80x = 67,681,967,800.32
  5. Step 5: Solve for x
    x = 67,681,967,800.32/213,196.80
  6. Step 6: Final answer
    x = 317,462.40

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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.