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Finding the Fourth Proportional to 213,280.32, 319,460.40 and 100,790.76

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Solution

The fourth proportional to 213,280.32, 319,460.40 and 100,790.76 is: 150,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,280.32 : 319,460.40 = 100,790.76 : x
  2. Step 2: Convert to fraction form
    213,280.32/319,460.40 = 100,790.76/x
  3. Step 3: Cross multiply
    213,280.32x = 319,460.40 × 100,790.76
  4. Step 4: Simplify right side
    213,280.32x = 32,198,656,505.90
  5. Step 5: Solve for x
    x = 32,198,656,505.90/213,280.32
  6. Step 6: Final answer
    x = 150,968.72

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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.