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Finding the Fourth Proportional to 495,651.74, 683,977.11 and 280,787.42

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Solution

The fourth proportional to 495,651.74, 683,977.11 and 280,787.42 is: 387,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,651.74 : 683,977.11 = 280,787.42 : x
  2. Step 2: Convert to fraction form
    495,651.74/683,977.11 = 280,787.42/x
  3. Step 3: Cross multiply
    495,651.74x = 683,977.11 × 280,787.42
  4. Step 4: Simplify right side
    495,651.74x = 192,052,168,055.96
  5. Step 5: Solve for x
    x = 192,052,168,055.96/495,651.74
  6. Step 6: Final answer
    x = 387,474.01

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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.