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Finding the Fourth Proportional to 518,701, 715,807.40 and 280,237

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Solution

The fourth proportional to 518,701, 715,807.40 and 280,237 is: 386,727.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,701 : 715,807.40 = 280,237 : x
  2. Step 2: Convert to fraction form
    518,701/715,807.40 = 280,237/x
  3. Step 3: Cross multiply
    518,701x = 715,807.40 × 280,237
  4. Step 4: Simplify right side
    518,701x = 200,595,718,353.80
  5. Step 5: Solve for x
    x = 200,595,718,353.80/518,701
  6. Step 6: Final answer
    x = 386,727.07

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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.