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Finding the Fourth Proportional to 519,242.28, 778,863.02 and 145,265.28

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Solution

The fourth proportional to 519,242.28, 778,863.02 and 145,265.28 is: 217,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,242.28 : 778,863.02 = 145,265.28 : x
  2. Step 2: Convert to fraction form
    519,242.28/778,863.02 = 145,265.28/x
  3. Step 3: Cross multiply
    519,242.28x = 778,863.02 × 145,265.28
  4. Step 4: Simplify right side
    519,242.28x = 113,141,753,955.62
  5. Step 5: Solve for x
    x = 113,141,753,955.62/519,242.28
  6. Step 6: Final answer
    x = 217,897.81

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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.