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Finding the Fourth Proportional to 402,262.86, 603,393.68 and 102,743.36

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Solution

The fourth proportional to 402,262.86, 603,393.68 and 102,743.36 is: 154,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,262.86 : 603,393.68 = 102,743.36 : x
  2. Step 2: Convert to fraction form
    402,262.86/603,393.68 = 102,743.36/x
  3. Step 3: Cross multiply
    402,262.86x = 603,393.68 × 102,743.36
  4. Step 4: Simplify right side
    402,262.86x = 61,994,690,555.28
  5. Step 5: Solve for x
    x = 61,994,690,555.28/402,262.86
  6. Step 6: Final answer
    x = 154,114.88

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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.