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Finding the Fourth Proportional to 495,792.32, 684,171.24 and 280,919.84

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Solution

The fourth proportional to 495,792.32, 684,171.24 and 280,919.84 is: 387,656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,792.32 : 684,171.24 = 280,919.84 : x
  2. Step 2: Convert to fraction form
    495,792.32/684,171.24 = 280,919.84/x
  3. Step 3: Cross multiply
    495,792.32x = 684,171.24 × 280,919.84
  4. Step 4: Simplify right side
    495,792.32x = 192,197,275,273.40
  5. Step 5: Solve for x
    x = 192,197,275,273.40/495,792.32
  6. Step 6: Final answer
    x = 387,656.82

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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.