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Finding the Fourth Proportional to 495,085.25, 683,219.90 and 280,266.87

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Solution

The fourth proportional to 495,085.25, 683,219.90 and 280,266.87 is: 386,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,085.25 : 683,219.90 = 280,266.87 : x
  2. Step 2: Convert to fraction form
    495,085.25/683,219.90 = 280,266.87/x
  3. Step 3: Cross multiply
    495,085.25x = 683,219.90 × 280,266.87
  4. Step 4: Simplify right side
    495,085.25x = 191,483,906,157.46
  5. Step 5: Solve for x
    x = 191,483,906,157.46/495,085.25
  6. Step 6: Final answer
    x = 386,769.56

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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.