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Finding the Fourth Proportional to 518,508, 715,541.45 and 280,044

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Solution

The fourth proportional to 518,508, 715,541.45 and 280,044 is: 386,460.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,508 : 715,541.45 = 280,044 : x
  2. Step 2: Convert to fraction form
    518,508/715,541.45 = 280,044/x
  3. Step 3: Cross multiply
    518,508x = 715,541.45 × 280,044
  4. Step 4: Simplify right side
    518,508x = 200,383,088,423.58
  5. Step 5: Solve for x
    x = 200,383,088,423.58/518,508
  6. Step 6: Final answer
    x = 386,460.94

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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.