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Finding the Fourth Proportional to 456,997.96, 630,726.90 and 284,943.88

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Solution

The fourth proportional to 456,997.96, 630,726.90 and 284,943.88 is: 393,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,997.96 : 630,726.90 = 284,943.88 : x
  2. Step 2: Convert to fraction form
    456,997.96/630,726.90 = 284,943.88/x
  3. Step 3: Cross multiply
    456,997.96x = 630,726.90 × 284,943.88
  4. Step 4: Simplify right side
    456,997.96x = 179,721,770,106.37
  5. Step 5: Solve for x
    x = 179,721,770,106.37/456,997.96
  6. Step 6: Final answer
    x = 393,266.02

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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.