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Finding the Fourth Proportional to 520,659.07, 780,097.06 and 284,167.69

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Solution

The fourth proportional to 520,659.07, 780,097.06 and 284,167.69 is: 425,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,659.07 : 780,097.06 = 284,167.69 : x
  2. Step 2: Convert to fraction form
    520,659.07/780,097.06 = 284,167.69/x
  3. Step 3: Cross multiply
    520,659.07x = 780,097.06 × 284,167.69
  4. Step 4: Simplify right side
    520,659.07x = 221,678,379,515.99
  5. Step 5: Solve for x
    x = 221,678,379,515.99/520,659.07
  6. Step 6: Final answer
    x = 425,764.94

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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.