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Finding the Fourth Proportional to 495,727.79, 684,102.56 and 280,908.90

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Solution

The fourth proportional to 495,727.79, 684,102.56 and 280,908.90 is: 387,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,727.79 : 684,102.56 = 280,908.90 : x
  2. Step 2: Convert to fraction form
    495,727.79/684,102.56 = 280,908.90/x
  3. Step 3: Cross multiply
    495,727.79x = 684,102.56 × 280,908.90
  4. Step 4: Simplify right side
    495,727.79x = 192,170,496,212.24
  5. Step 5: Solve for x
    x = 192,170,496,212.24/495,727.79
  6. Step 6: Final answer
    x = 387,653.27

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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.