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Finding the Fourth Proportional to 495,735.30, 684,112.90 and 280,916.42

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Solution

The fourth proportional to 495,735.30, 684,112.90 and 280,916.42 is: 387,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,735.30 : 684,112.90 = 280,916.42 : x
  2. Step 2: Convert to fraction form
    495,735.30/684,112.90 = 280,916.42/x
  3. Step 3: Cross multiply
    495,735.30x = 684,112.90 × 280,916.42
  4. Step 4: Simplify right side
    495,735.30x = 192,178,546,743.82
  5. Step 5: Solve for x
    x = 192,178,546,743.82/495,735.30
  6. Step 6: Final answer
    x = 387,663.63

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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.