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Finding the Fourth Proportional to 418,483.80, 577,500.84 and 227,502

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Solution

The fourth proportional to 418,483.80, 577,500.84 and 227,502 is: 313,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,483.80 : 577,500.84 = 227,502 : x
  2. Step 2: Convert to fraction form
    418,483.80/577,500.84 = 227,502/x
  3. Step 3: Cross multiply
    418,483.80x = 577,500.84 × 227,502
  4. Step 4: Simplify right side
    418,483.80x = 131,382,596,101.68
  5. Step 5: Solve for x
    x = 131,382,596,101.68/418,483.80
  6. Step 6: Final answer
    x = 313,949.06

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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.