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Finding the Fourth Proportional to 319,206.95, 478,771.41 and 82,529.81

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Solution

The fourth proportional to 319,206.95, 478,771.41 and 82,529.81 is: 123,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,206.95 : 478,771.41 = 82,529.81 : x
  2. Step 2: Convert to fraction form
    319,206.95/478,771.41 = 82,529.81/x
  3. Step 3: Cross multiply
    319,206.95x = 478,771.41 × 82,529.81
  4. Step 4: Simplify right side
    319,206.95x = 39,512,913,500.73
  5. Step 5: Solve for x
    x = 39,512,913,500.73/319,206.95
  6. Step 6: Final answer
    x = 123,784.63

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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.