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Finding the Fourth Proportional to 418,645.80, 577,735.32 and 227,663.34

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Solution

The fourth proportional to 418,645.80, 577,735.32 and 227,663.34 is: 314,177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,645.80 : 577,735.32 = 227,663.34 : x
  2. Step 2: Convert to fraction form
    418,645.80/577,735.32 = 227,663.34/x
  3. Step 3: Cross multiply
    418,645.80x = 577,735.32 × 227,663.34
  4. Step 4: Simplify right side
    418,645.80x = 131,529,152,587.17
  5. Step 5: Solve for x
    x = 131,529,152,587.17/418,645.80
  6. Step 6: Final answer
    x = 314,177.65

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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.