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Finding the Fourth Proportional to 446,267.84, 615,697.56 and 285,215.80

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Solution

The fourth proportional to 446,267.84, 615,697.56 and 285,215.80 is: 393,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,267.84 : 615,697.56 = 285,215.80 : x
  2. Step 2: Convert to fraction form
    446,267.84/615,697.56 = 285,215.80/x
  3. Step 3: Cross multiply
    446,267.84x = 615,697.56 × 285,215.80
  4. Step 4: Simplify right side
    446,267.84x = 175,606,672,133.45
  5. Step 5: Solve for x
    x = 175,606,672,133.45/446,267.84
  6. Step 6: Final answer
    x = 393,500.62

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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.