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Finding the Fourth Proportional to 418,980.60, 578,193.36 and 227,989.88

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Solution

The fourth proportional to 418,980.60, 578,193.36 and 227,989.88 is: 314,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,980.60 : 578,193.36 = 227,989.88 : x
  2. Step 2: Convert to fraction form
    418,980.60/578,193.36 = 227,989.88/x
  3. Step 3: Cross multiply
    418,980.60x = 578,193.36 × 227,989.88
  4. Step 4: Simplify right side
    418,980.60x = 131,822,234,763.20
  5. Step 5: Solve for x
    x = 131,822,234,763.20/418,980.60
  6. Step 6: Final answer
    x = 314,626.11

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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.