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Finding the Fourth Proportional to 495,223.44, 683,450.64 and 280,401.36

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Solution

The fourth proportional to 495,223.44, 683,450.64 and 280,401.36 is: 386,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,223.44 : 683,450.64 = 280,401.36 : x
  2. Step 2: Convert to fraction form
    495,223.44/683,450.64 = 280,401.36/x
  3. Step 3: Cross multiply
    495,223.44x = 683,450.64 × 280,401.36
  4. Step 4: Simplify right side
    495,223.44x = 191,640,488,948.87
  5. Step 5: Solve for x
    x = 191,640,488,948.87/495,223.44
  6. Step 6: Final answer
    x = 386,977.82

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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.