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Finding the Fourth Proportional to 305,901.36, 458,771.85 and 137,327.40

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Solution

The fourth proportional to 305,901.36, 458,771.85 and 137,327.40 is: 205,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,901.36 : 458,771.85 = 137,327.40 : x
  2. Step 2: Convert to fraction form
    305,901.36/458,771.85 = 137,327.40/x
  3. Step 3: Cross multiply
    305,901.36x = 458,771.85 × 137,327.40
  4. Step 4: Simplify right side
    305,901.36x = 63,001,945,353.69
  5. Step 5: Solve for x
    x = 63,001,945,353.69/305,901.36
  6. Step 6: Final answer
    x = 205,955.10

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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.