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Finding the Fourth Proportional to 402,283.90, 603,425.31 and 102,764.70

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Solution

The fourth proportional to 402,283.90, 603,425.31 and 102,764.70 is: 154,146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,283.90 : 603,425.31 = 102,764.70 : x
  2. Step 2: Convert to fraction form
    402,283.90/603,425.31 = 102,764.70/x
  3. Step 3: Cross multiply
    402,283.90x = 603,425.31 × 102,764.70
  4. Step 4: Simplify right side
    402,283.90x = 62,010,820,954.56
  5. Step 5: Solve for x
    x = 62,010,820,954.56/402,283.90
  6. Step 6: Final answer
    x = 154,146.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.