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Finding the Fourth Proportional to 518,725, 715,840.50 and 280,261

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Solution

The fourth proportional to 518,725, 715,840.50 and 280,261 is: 386,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,725 : 715,840.50 = 280,261 : x
  2. Step 2: Convert to fraction form
    518,725/715,840.50 = 280,261/x
  3. Step 3: Cross multiply
    518,725x = 715,840.50 × 280,261
  4. Step 4: Simplify right side
    518,725x = 200,622,174,370.50
  5. Step 5: Solve for x
    x = 200,622,174,370.50/518,725
  6. Step 6: Final answer
    x = 386,760.18

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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.