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Finding the Fourth Proportional to 418,967.38, 578,170.12 and 227,977.48

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Solution

The fourth proportional to 418,967.38, 578,170.12 and 227,977.48 is: 314,606.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,967.38 : 578,170.12 = 227,977.48 : x
  2. Step 2: Convert to fraction form
    418,967.38/578,170.12 = 227,977.48/x
  3. Step 3: Cross multiply
    418,967.38x = 578,170.12 × 227,977.48
  4. Step 4: Simplify right side
    418,967.38x = 131,809,766,968.90
  5. Step 5: Solve for x
    x = 131,809,766,968.90/418,967.38
  6. Step 6: Final answer
    x = 314,606.28

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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.