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Finding the Fourth Proportional to 518,724, 715,839.12 and 280,260

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Solution

The fourth proportional to 518,724, 715,839.12 and 280,260 is: 386,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,724 : 715,839.12 = 280,260 : x
  2. Step 2: Convert to fraction form
    518,724/715,839.12 = 280,260/x
  3. Step 3: Cross multiply
    518,724x = 715,839.12 × 280,260
  4. Step 4: Simplify right side
    518,724x = 200,621,071,771.20
  5. Step 5: Solve for x
    x = 200,621,071,771.20/518,724
  6. Step 6: Final answer
    x = 386,758.80

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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.