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Finding the Fourth Proportional to 305,503.65, 458,071.40 and 136,993.48

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Solution

The fourth proportional to 305,503.65, 458,071.40 and 136,993.48 is: 205,407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,503.65 : 458,071.40 = 136,993.48 : x
  2. Step 2: Convert to fraction form
    305,503.65/458,071.40 = 136,993.48/x
  3. Step 3: Cross multiply
    305,503.65x = 458,071.40 × 136,993.48
  4. Step 4: Simplify right side
    305,503.65x = 62,752,794,371.78
  5. Step 5: Solve for x
    x = 62,752,794,371.78/305,503.65
  6. Step 6: Final answer
    x = 205,407.67

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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.