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Finding the Fourth Proportional to 305,946.60, 458,762.31 and 137,322.38

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Solution

The fourth proportional to 305,946.60, 458,762.31 and 137,322.38 is: 205,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,946.60 : 458,762.31 = 137,322.38 : x
  2. Step 2: Convert to fraction form
    305,946.60/458,762.31 = 137,322.38/x
  3. Step 3: Cross multiply
    305,946.60x = 458,762.31 × 137,322.38
  4. Step 4: Simplify right side
    305,946.60x = 62,998,329,969.69
  5. Step 5: Solve for x
    x = 62,998,329,969.69/305,946.60
  6. Step 6: Final answer
    x = 205,912.83

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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.