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Finding the Fourth Proportional to 305,983.40, 458,816.64 and 137,358.48

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Solution

The fourth proportional to 305,983.40, 458,816.64 and 137,358.48 is: 205,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,983.40 : 458,816.64 = 137,358.48 : x
  2. Step 2: Convert to fraction form
    305,983.40/458,816.64 = 137,358.48/x
  3. Step 3: Cross multiply
    305,983.40x = 458,816.64 × 137,358.48
  4. Step 4: Simplify right side
    305,983.40x = 63,022,356,269.11
  5. Step 5: Solve for x
    x = 63,022,356,269.11/305,983.40
  6. Step 6: Final answer
    x = 205,966.59

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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.