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Finding the Fourth Proportional to 319,159.95, 478,756.32 and 82,504.68

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Solution

The fourth proportional to 319,159.95, 478,756.32 and 82,504.68 is: 123,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,159.95 : 478,756.32 = 82,504.68 : x
  2. Step 2: Convert to fraction form
    319,159.95/478,756.32 = 82,504.68/x
  3. Step 3: Cross multiply
    319,159.95x = 478,756.32 × 82,504.68
  4. Step 4: Simplify right side
    319,159.95x = 39,499,635,338.94
  5. Step 5: Solve for x
    x = 39,499,635,338.94/319,159.95
  6. Step 6: Final answer
    x = 123,761.25

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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.