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Finding the Fourth Proportional to 520,141.98, 779,991.42 and 204,377.38

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Solution

The fourth proportional to 520,141.98, 779,991.42 and 204,377.38 is: 306,479.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,141.98 : 779,991.42 = 204,377.38 : x
  2. Step 2: Convert to fraction form
    520,141.98/779,991.42 = 204,377.38/x
  3. Step 3: Cross multiply
    520,141.98x = 779,991.42 × 204,377.38
  4. Step 4: Simplify right side
    520,141.98x = 159,412,602,842.08
  5. Step 5: Solve for x
    x = 159,412,602,842.08/520,141.98
  6. Step 6: Final answer
    x = 306,479.02

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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.