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Finding the Fourth Proportional to 418,628.67, 577,704.60 and 227,642.10

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Solution

The fourth proportional to 418,628.67, 577,704.60 and 227,642.10 is: 314,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,628.67 : 577,704.60 = 227,642.10 : x
  2. Step 2: Convert to fraction form
    418,628.67/577,704.60 = 227,642.10/x
  3. Step 3: Cross multiply
    418,628.67x = 577,704.60 × 227,642.10
  4. Step 4: Simplify right side
    418,628.67x = 131,509,888,323.66
  5. Step 5: Solve for x
    x = 131,509,888,323.66/418,628.67
  6. Step 6: Final answer
    x = 314,144.49

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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.