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Finding the Fourth Proportional to 319,981.89, 480,000.39 and 83,325

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Solution

The fourth proportional to 319,981.89, 480,000.39 and 83,325 is: 124,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,981.89 : 480,000.39 = 83,325 : x
  2. Step 2: Convert to fraction form
    319,981.89/480,000.39 = 83,325/x
  3. Step 3: Cross multiply
    319,981.89x = 480,000.39 × 83,325
  4. Step 4: Simplify right side
    319,981.89x = 39,996,032,496.75
  5. Step 5: Solve for x
    x = 39,996,032,496.75/319,981.89
  6. Step 6: Final answer
    x = 124,994.68

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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.