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Finding the Fourth Proportional to 518,045.63, 777,511.31 and 202,723.97

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Solution

The fourth proportional to 518,045.63, 777,511.31 and 202,723.97 is: 304,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,045.63 : 777,511.31 = 202,723.97 : x
  2. Step 2: Convert to fraction form
    518,045.63/777,511.31 = 202,723.97/x
  3. Step 3: Cross multiply
    518,045.63x = 777,511.31 × 202,723.97
  4. Step 4: Simplify right side
    518,045.63x = 157,620,174,581.92
  5. Step 5: Solve for x
    x = 157,620,174,581.92/518,045.63
  6. Step 6: Final answer
    x = 304,259.25

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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.