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Finding the Fourth Proportional to 509,988.54, 703,780.29 and 280,540.89

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Solution

The fourth proportional to 509,988.54, 703,780.29 and 280,540.89 is: 387,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,988.54 : 703,780.29 = 280,540.89 : x
  2. Step 2: Convert to fraction form
    509,988.54/703,780.29 = 280,540.89/x
  3. Step 3: Cross multiply
    509,988.54x = 703,780.29 × 280,540.89
  4. Step 4: Simplify right side
    509,988.54x = 197,439,148,921.06
  5. Step 5: Solve for x
    x = 197,439,148,921.06/509,988.54
  6. Step 6: Final answer
    x = 387,144.29

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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.