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Finding the Fourth Proportional to 408,398.98, 563,508 and 238,600.30

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Solution

The fourth proportional to 408,398.98, 563,508 and 238,600.30 is: 329,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,398.98 : 563,508 = 238,600.30 : x
  2. Step 2: Convert to fraction form
    408,398.98/563,508 = 238,600.30/x
  3. Step 3: Cross multiply
    408,398.98x = 563,508 × 238,600.30
  4. Step 4: Simplify right side
    408,398.98x = 134,453,177,852.40
  5. Step 5: Solve for x
    x = 134,453,177,852.40/408,398.98
  6. Step 6: Final answer
    x = 329,220.16

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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.