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Finding the Fourth Proportional to 305,297.49, 457,368.20 and 203,789.46

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Solution

The fourth proportional to 305,297.49, 457,368.20 and 203,789.46 is: 305,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,297.49 : 457,368.20 = 203,789.46 : x
  2. Step 2: Convert to fraction form
    305,297.49/457,368.20 = 203,789.46/x
  3. Step 3: Cross multiply
    305,297.49x = 457,368.20 × 203,789.46
  4. Step 4: Simplify right side
    305,297.49x = 93,206,817,480.22
  5. Step 5: Solve for x
    x = 93,206,817,480.22/305,297.49
  6. Step 6: Final answer
    x = 305,298.35

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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.