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Finding the Fourth Proportional to 408,672.90, 613,009.35 and 219,716.10

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Solution

The fourth proportional to 408,672.90, 613,009.35 and 219,716.10 is: 329,574.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,672.90 : 613,009.35 = 219,716.10 : x
  2. Step 2: Convert to fraction form
    408,672.90/613,009.35 = 219,716.10/x
  3. Step 3: Cross multiply
    408,672.90x = 613,009.35 × 219,716.10
  4. Step 4: Simplify right side
    408,672.90x = 134,688,023,645.54
  5. Step 5: Solve for x
    x = 134,688,023,645.54/408,672.90
  6. Step 6: Final answer
    x = 329,574.15

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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.