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Finding the Fourth Proportional to 408,315.20, 563,998.24 and 313,979.20

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Solution

The fourth proportional to 408,315.20, 563,998.24 and 313,979.20 is: 433,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,315.20 : 563,998.24 = 313,979.20 : x
  2. Step 2: Convert to fraction form
    408,315.20/563,998.24 = 313,979.20/x
  3. Step 3: Cross multiply
    408,315.20x = 563,998.24 × 313,979.20
  4. Step 4: Simplify right side
    408,315.20x = 177,083,716,196.61
  5. Step 5: Solve for x
    x = 177,083,716,196.61/408,315.20
  6. Step 6: Final answer
    x = 433,693.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.