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Finding the Fourth Proportional to 518,482, 715,505.16 and 280,018

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Solution

The fourth proportional to 518,482, 715,505.16 and 280,018 is: 386,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,482 : 715,505.16 = 280,018 : x
  2. Step 2: Convert to fraction form
    518,482/715,505.16 = 280,018/x
  3. Step 3: Cross multiply
    518,482x = 715,505.16 × 280,018
  4. Step 4: Simplify right side
    518,482x = 200,354,323,892.88
  5. Step 5: Solve for x
    x = 200,354,323,892.88/518,482
  6. Step 6: Final answer
    x = 386,424.84

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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.