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Finding the Fourth Proportional to 495,596.48, 683,937.16 and 280,736.48

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Solution

The fourth proportional to 495,596.48, 683,937.16 and 280,736.48 is: 387,424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,596.48 : 683,937.16 = 280,736.48 : x
  2. Step 2: Convert to fraction form
    495,596.48/683,937.16 = 280,736.48/x
  3. Step 3: Cross multiply
    495,596.48x = 683,937.16 × 280,736.48
  4. Step 4: Simplify right side
    495,596.48x = 192,006,111,847.60
  5. Step 5: Solve for x
    x = 192,006,111,847.60/495,596.48
  6. Step 6: Final answer
    x = 387,424.29

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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.