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Finding the Fourth Proportional to 495,750.80, 684,260.52 and 281,019

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Solution

The fourth proportional to 495,750.80, 684,260.52 and 281,019 is: 387,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,750.80 : 684,260.52 = 281,019 : x
  2. Step 2: Convert to fraction form
    495,750.80/684,260.52 = 281,019/x
  3. Step 3: Cross multiply
    495,750.80x = 684,260.52 × 281,019
  4. Step 4: Simplify right side
    495,750.80x = 192,290,207,069.88
  5. Step 5: Solve for x
    x = 192,290,207,069.88/495,750.80
  6. Step 6: Final answer
    x = 387,876.75

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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.