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Finding the Fourth Proportional to 518,644.76, 715,738.61 and 286,098.41

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Solution

The fourth proportional to 518,644.76, 715,738.61 and 286,098.41 is: 394,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,644.76 : 715,738.61 = 286,098.41 : x
  2. Step 2: Convert to fraction form
    518,644.76/715,738.61 = 286,098.41/x
  3. Step 3: Cross multiply
    518,644.76x = 715,738.61 × 286,098.41
  4. Step 4: Simplify right side
    518,644.76x = 204,771,680,801.20
  5. Step 5: Solve for x
    x = 204,771,680,801.20/518,644.76
  6. Step 6: Final answer
    x = 394,820.69

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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.