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Finding the Fourth Proportional to 305,974.40, 459,058.80 and 137,429.60

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Solution

The fourth proportional to 305,974.40, 459,058.80 and 137,429.60 is: 206,188.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,974.40 : 459,058.80 = 137,429.60 : x
  2. Step 2: Convert to fraction form
    305,974.40/459,058.80 = 137,429.60/x
  3. Step 3: Cross multiply
    305,974.40x = 459,058.80 × 137,429.60
  4. Step 4: Simplify right side
    305,974.40x = 63,088,267,260.48
  5. Step 5: Solve for x
    x = 63,088,267,260.48/305,974.40
  6. Step 6: Final answer
    x = 206,188.06

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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.