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Finding the Fourth Proportional to 319,205.95, 478,769.91 and 82,528.81

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Solution

The fourth proportional to 319,205.95, 478,769.91 and 82,528.81 is: 123,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,205.95 : 478,769.91 = 82,528.81 : x
  2. Step 2: Convert to fraction form
    319,205.95/478,769.91 = 82,528.81/x
  3. Step 3: Cross multiply
    319,205.95x = 478,769.91 × 82,528.81
  4. Step 4: Simplify right side
    319,205.95x = 39,512,310,936.11
  5. Step 5: Solve for x
    x = 39,512,310,936.11/319,205.95
  6. Step 6: Final answer
    x = 123,783.13

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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.