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Finding the Fourth Proportional to 518,832, 715,988.16 and 280,368

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Solution

The fourth proportional to 518,832, 715,988.16 and 280,368 is: 386,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,832 : 715,988.16 = 280,368 : x
  2. Step 2: Convert to fraction form
    518,832/715,988.16 = 280,368/x
  3. Step 3: Cross multiply
    518,832x = 715,988.16 × 280,368
  4. Step 4: Simplify right side
    518,832x = 200,740,168,442.88
  5. Step 5: Solve for x
    x = 200,740,168,442.88/518,832
  6. Step 6: Final answer
    x = 386,907.84

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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.