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Finding the Fourth Proportional to 418,409.76, 577,406.28 and 227,422.68

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Solution

The fourth proportional to 418,409.76, 577,406.28 and 227,422.68 is: 313,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,409.76 : 577,406.28 = 227,422.68 : x
  2. Step 2: Convert to fraction form
    418,409.76/577,406.28 = 227,422.68/x
  3. Step 3: Cross multiply
    418,409.76x = 577,406.28 × 227,422.68
  4. Step 4: Simplify right side
    418,409.76x = 131,315,283,646.43
  5. Step 5: Solve for x
    x = 131,315,283,646.43/418,409.76
  6. Step 6: Final answer
    x = 313,843.74

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1.5x scale

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.