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Finding the Fourth Proportional to 495,652.74, 683,978.49 and 280,788.42

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Solution

The fourth proportional to 495,652.74, 683,978.49 and 280,788.42 is: 387,475.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,652.74 : 683,978.49 = 280,788.42 : x
  2. Step 2: Convert to fraction form
    495,652.74/683,978.49 = 280,788.42/x
  3. Step 3: Cross multiply
    495,652.74x = 683,978.49 × 280,788.42
  4. Step 4: Simplify right side
    495,652.74x = 192,053,239,521.09
  5. Step 5: Solve for x
    x = 192,053,239,521.09/495,652.74
  6. Step 6: Final answer
    x = 387,475.39

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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.