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Finding the Fourth Proportional to 495,410.36, 683,708.46 and 280,588.64

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Solution

The fourth proportional to 495,410.36, 683,708.46 and 280,588.64 is: 387,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,410.36 : 683,708.46 = 280,588.64 : x
  2. Step 2: Convert to fraction form
    495,410.36/683,708.46 = 280,588.64/x
  3. Step 3: Cross multiply
    495,410.36x = 683,708.46 × 280,588.64
  4. Step 4: Simplify right side
    495,410.36x = 191,840,826,947.89
  5. Step 5: Solve for x
    x = 191,840,826,947.89/495,410.36
  6. Step 6: Final answer
    x = 387,236.20

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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.