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Finding the Fourth Proportional to 518,448, 715,458.27 and 279,984

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Solution

The fourth proportional to 518,448, 715,458.27 and 279,984 is: 386,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,448 : 715,458.27 = 279,984 : x
  2. Step 2: Convert to fraction form
    518,448/715,458.27 = 279,984/x
  3. Step 3: Cross multiply
    518,448x = 715,458.27 × 279,984
  4. Step 4: Simplify right side
    518,448x = 200,316,868,267.68
  5. Step 5: Solve for x
    x = 200,316,868,267.68/518,448
  6. Step 6: Final answer
    x = 386,377.94

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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.