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Finding the Fourth Proportional to 518,364.78, 715,346.75 and 288,936.64

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Solution

The fourth proportional to 518,364.78, 715,346.75 and 288,936.64 is: 398,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,364.78 : 715,346.75 = 288,936.64 : x
  2. Step 2: Convert to fraction form
    518,364.78/715,346.75 = 288,936.64/x
  3. Step 3: Cross multiply
    518,364.78x = 715,346.75 × 288,936.64
  4. Step 4: Simplify right side
    518,364.78x = 206,689,886,379.92
  5. Step 5: Solve for x
    x = 206,689,886,379.92/518,364.78
  6. Step 6: Final answer
    x = 398,734.43

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1.5x scale

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.