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Finding the Fourth Proportional to 418,262.64, 577,206.10 and 227,276.03

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Solution

The fourth proportional to 418,262.64, 577,206.10 and 227,276.03 is: 313,642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,262.64 : 577,206.10 = 227,276.03 : x
  2. Step 2: Convert to fraction form
    418,262.64/577,206.10 = 227,276.03/x
  3. Step 3: Cross multiply
    418,262.64x = 577,206.10 × 227,276.03
  4. Step 4: Simplify right side
    418,262.64x = 131,185,110,899.78
  5. Step 5: Solve for x
    x = 131,185,110,899.78/418,262.64
  6. Step 6: Final answer
    x = 313,642.91

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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.