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Finding the Fourth Proportional to 518,610, 715,682.44 and 280,146

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Solution

The fourth proportional to 518,610, 715,682.44 and 280,146 is: 386,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,610 : 715,682.44 = 280,146 : x
  2. Step 2: Convert to fraction form
    518,610/715,682.44 = 280,146/x
  3. Step 3: Cross multiply
    518,610x = 715,682.44 × 280,146
  4. Step 4: Simplify right side
    518,610x = 200,495,572,836.24
  5. Step 5: Solve for x
    x = 200,495,572,836.24/518,610
  6. Step 6: Final answer
    x = 386,601.83

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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.