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Finding the Fourth Proportional to 510,020.36, 703,800.29 and 280,540.61

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Solution

The fourth proportional to 510,020.36, 703,800.29 and 280,540.61 is: 387,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,020.36 : 703,800.29 = 280,540.61 : x
  2. Step 2: Convert to fraction form
    510,020.36/703,800.29 = 280,540.61/x
  3. Step 3: Cross multiply
    510,020.36x = 703,800.29 × 280,540.61
  4. Step 4: Simplify right side
    510,020.36x = 197,444,566,455.26
  5. Step 5: Solve for x
    x = 197,444,566,455.26/510,020.36
  6. Step 6: Final answer
    x = 387,130.75

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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.