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Finding the Fourth Proportional to 518,780.64, 715,917.27 and 280,316.64

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Solution

The fourth proportional to 518,780.64, 715,917.27 and 280,316.64 is: 386,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,780.64 : 715,917.27 = 280,316.64 : x
  2. Step 2: Convert to fraction form
    518,780.64/715,917.27 = 280,316.64/x
  3. Step 3: Cross multiply
    518,780.64x = 715,917.27 × 280,316.64
  4. Step 4: Simplify right side
    518,780.64x = 200,683,523,644.37
  5. Step 5: Solve for x
    x = 200,683,523,644.37/518,780.64
  6. Step 6: Final answer
    x = 386,836.96

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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.