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Finding the Fourth Proportional to 418,376.40, 577,363.92 and 227,389.80

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Solution

The fourth proportional to 418,376.40, 577,363.92 and 227,389.80 is: 313,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,376.40 : 577,363.92 = 227,389.80 : x
  2. Step 2: Convert to fraction form
    418,376.40/577,363.92 = 227,389.80/x
  3. Step 3: Cross multiply
    418,376.40x = 577,363.92 × 227,389.80
  4. Step 4: Simplify right side
    418,376.40x = 131,286,666,296.02
  5. Step 5: Solve for x
    x = 131,286,666,296.02/418,376.40
  6. Step 6: Final answer
    x = 313,800.36

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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.