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Finding the Fourth Proportional to 418,978.59, 578,190.60 and 227,987.88

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Solution

The fourth proportional to 418,978.59, 578,190.60 and 227,987.88 is: 314,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,978.59 : 578,190.60 = 227,987.88 : x
  2. Step 2: Convert to fraction form
    418,978.59/578,190.60 = 227,987.88/x
  3. Step 3: Cross multiply
    418,978.59x = 578,190.60 × 227,987.88
  4. Step 4: Simplify right side
    418,978.59x = 131,820,449,129.93
  5. Step 5: Solve for x
    x = 131,820,449,129.93/418,978.59
  6. Step 6: Final answer
    x = 314,623.35

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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.