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Finding the Fourth Proportional to 518,751.89, 715,877.61 and 280,287.89

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Solution

The fourth proportional to 518,751.89, 715,877.61 and 280,287.89 is: 386,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,751.89 : 715,877.61 = 280,287.89 : x
  2. Step 2: Convert to fraction form
    518,751.89/715,877.61 = 280,287.89/x
  3. Step 3: Cross multiply
    518,751.89x = 715,877.61 × 280,287.89
  4. Step 4: Simplify right side
    518,751.89x = 200,651,824,805.14
  5. Step 5: Solve for x
    x = 200,651,824,805.14/518,751.89
  6. Step 6: Final answer
    x = 386,797.29

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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.