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Finding the Fourth Proportional to 319,253.40, 478,901.97 and 82,620

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Solution

The fourth proportional to 319,253.40, 478,901.97 and 82,620 is: 123,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,253.40 : 478,901.97 = 82,620 : x
  2. Step 2: Convert to fraction form
    319,253.40/478,901.97 = 82,620/x
  3. Step 3: Cross multiply
    319,253.40x = 478,901.97 × 82,620
  4. Step 4: Simplify right side
    319,253.40x = 39,566,880,761.40
  5. Step 5: Solve for x
    x = 39,566,880,761.40/319,253.40
  6. Step 6: Final answer
    x = 123,935.66

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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.