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Finding the Fourth Proportional to 518,356.78, 715,335.71 and 288,928.64

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Solution

The fourth proportional to 518,356.78, 715,335.71 and 288,928.64 is: 398,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,356.78 : 715,335.71 = 288,928.64 : x
  2. Step 2: Convert to fraction form
    518,356.78/715,335.71 = 288,928.64/x
  3. Step 3: Cross multiply
    518,356.78x = 715,335.71 × 288,928.64
  4. Step 4: Simplify right side
    518,356.78x = 206,680,974,177.43
  5. Step 5: Solve for x
    x = 206,680,974,177.43/518,356.78
  6. Step 6: Final answer
    x = 398,723.40

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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.