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Finding the Fourth Proportional to 520,662.07, 780,101.56 and 284,170.69

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Solution

The fourth proportional to 520,662.07, 780,101.56 and 284,170.69 is: 425,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,662.07 : 780,101.56 = 284,170.69 : x
  2. Step 2: Convert to fraction form
    520,662.07/780,101.56 = 284,170.69/x
  3. Step 3: Cross multiply
    520,662.07x = 780,101.56 × 284,170.69
  4. Step 4: Simplify right side
    520,662.07x = 221,681,998,575.28
  5. Step 5: Solve for x
    x = 221,681,998,575.28/520,662.07
  6. Step 6: Final answer
    x = 425,769.44

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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.