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Finding the Fourth Proportional to 495,658.68, 684,042.81 and 280,800.51

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Solution

The fourth proportional to 495,658.68, 684,042.81 and 280,800.51 is: 387,523.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,658.68 : 684,042.81 = 280,800.51 : x
  2. Step 2: Convert to fraction form
    495,658.68/684,042.81 = 280,800.51/x
  3. Step 3: Cross multiply
    495,658.68x = 684,042.81 × 280,800.51
  4. Step 4: Simplify right side
    495,658.68x = 192,079,566,291.67
  5. Step 5: Solve for x
    x = 192,079,566,291.67/495,658.68
  6. Step 6: Final answer
    x = 387,523.87

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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.