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Finding the Fourth Proportional to 463,141.80, 695,150.10 and 285,994.80

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Solution

The fourth proportional to 463,141.80, 695,150.10 and 285,994.80 is: 429,262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,141.80 : 695,150.10 = 285,994.80 : x
  2. Step 2: Convert to fraction form
    463,141.80/695,150.10 = 285,994.80/x
  3. Step 3: Cross multiply
    463,141.80x = 695,150.10 × 285,994.80
  4. Step 4: Simplify right side
    463,141.80x = 198,809,313,819.48
  5. Step 5: Solve for x
    x = 198,809,313,819.48/463,141.80
  6. Step 6: Final answer
    x = 429,262.30

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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.