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Finding the Fourth Proportional to 418,868.53, 578,041.08 and 227,883.29

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Solution

The fourth proportional to 418,868.53, 578,041.08 and 227,883.29 is: 314,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,868.53 : 578,041.08 = 227,883.29 : x
  2. Step 2: Convert to fraction form
    418,868.53/578,041.08 = 227,883.29/x
  3. Step 3: Cross multiply
    418,868.53x = 578,041.08 × 227,883.29
  4. Step 4: Simplify right side
    418,868.53x = 131,725,900,175.35
  5. Step 5: Solve for x
    x = 131,725,900,175.35/418,868.53
  6. Step 6: Final answer
    x = 314,480.30

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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.