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Finding the Fourth Proportional to 418,887.90, 578,071.22 and 227,901.45

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Solution

The fourth proportional to 418,887.90, 578,071.22 and 227,901.45 is: 314,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,887.90 : 578,071.22 = 227,901.45 : x
  2. Step 2: Convert to fraction form
    418,887.90/578,071.22 = 227,901.45/x
  3. Step 3: Cross multiply
    418,887.90x = 578,071.22 × 227,901.45
  4. Step 4: Simplify right side
    418,887.90x = 131,743,266,920.67
  5. Step 5: Solve for x
    x = 131,743,266,920.67/418,887.90
  6. Step 6: Final answer
    x = 314,507.21

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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.