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Finding the Fourth Proportional to 518,646, 715,731.48 and 280,182

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Solution

The fourth proportional to 518,646, 715,731.48 and 280,182 is: 386,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,646 : 715,731.48 = 280,182 : x
  2. Step 2: Convert to fraction form
    518,646/715,731.48 = 280,182/x
  3. Step 3: Cross multiply
    518,646x = 715,731.48 × 280,182
  4. Step 4: Simplify right side
    518,646x = 200,535,077,529.36
  5. Step 5: Solve for x
    x = 200,535,077,529.36/518,646
  6. Step 6: Final answer
    x = 386,651.16

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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.