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Finding the Fourth Proportional to 518,181.98, 715,072.25 and 288,727.40

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Solution

The fourth proportional to 518,181.98, 715,072.25 and 288,727.40 is: 398,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,181.98 : 715,072.25 = 288,727.40 : x
  2. Step 2: Convert to fraction form
    518,181.98/715,072.25 = 288,727.40/x
  3. Step 3: Cross multiply
    518,181.98x = 715,072.25 × 288,727.40
  4. Step 4: Simplify right side
    518,181.98x = 206,460,946,535.65
  5. Step 5: Solve for x
    x = 206,460,946,535.65/518,181.98
  6. Step 6: Final answer
    x = 398,433.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.