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Finding the Fourth Proportional to 412,511.32, 618,943.43 and 172,681.27

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Solution

The fourth proportional to 412,511.32, 618,943.43 and 172,681.27 is: 259,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,511.32 : 618,943.43 = 172,681.27 : x
  2. Step 2: Convert to fraction form
    412,511.32/618,943.43 = 172,681.27/x
  3. Step 3: Cross multiply
    412,511.32x = 618,943.43 × 172,681.27
  4. Step 4: Simplify right side
    412,511.32x = 106,879,937,550.56
  5. Step 5: Solve for x
    x = 106,879,937,550.56/412,511.32
  6. Step 6: Final answer
    x = 259,095.77

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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.