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Finding the Fourth Proportional to 418,963.88, 578,165.28 and 227,973.98

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Solution

The fourth proportional to 418,963.88, 578,165.28 and 227,973.98 is: 314,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,963.88 : 578,165.28 = 227,973.98 : x
  2. Step 2: Convert to fraction form
    418,963.88/578,165.28 = 227,973.98/x
  3. Step 3: Cross multiply
    418,963.88x = 578,165.28 × 227,973.98
  4. Step 4: Simplify right side
    418,963.88x = 131,806,639,979.41
  5. Step 5: Solve for x
    x = 131,806,639,979.41/418,963.88
  6. Step 6: Final answer
    x = 314,601.44

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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.