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Finding the Fourth Proportional to 305,977.96, 458,808.50 and 137,353.07

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Solution

The fourth proportional to 305,977.96, 458,808.50 and 137,353.07 is: 205,958.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,977.96 : 458,808.50 = 137,353.07 : x
  2. Step 2: Convert to fraction form
    305,977.96/458,808.50 = 137,353.07/x
  3. Step 3: Cross multiply
    305,977.96x = 458,808.50 × 137,353.07
  4. Step 4: Simplify right side
    305,977.96x = 63,018,754,926.70
  5. Step 5: Solve for x
    x = 63,018,754,926.70/305,977.96
  6. Step 6: Final answer
    x = 205,958.48

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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.