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Finding the Fourth Proportional to 319,224.68, 478,732.82 and 105,935.30

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Solution

The fourth proportional to 319,224.68, 478,732.82 and 105,935.30 is: 158,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,224.68 : 478,732.82 = 105,935.30 : x
  2. Step 2: Convert to fraction form
    319,224.68/478,732.82 = 105,935.30/x
  3. Step 3: Cross multiply
    319,224.68x = 478,732.82 × 105,935.30
  4. Step 4: Simplify right side
    319,224.68x = 50,714,702,777.72
  5. Step 5: Solve for x
    x = 50,714,702,777.72/319,224.68
  6. Step 6: Final answer
    x = 158,868.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.