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Finding the Fourth Proportional to 305,919.34, 458,888.06 and 146,012.13

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Solution

The fourth proportional to 305,919.34, 458,888.06 and 146,012.13 is: 219,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,919.34 : 458,888.06 = 146,012.13 : x
  2. Step 2: Convert to fraction form
    305,919.34/458,888.06 = 146,012.13/x
  3. Step 3: Cross multiply
    305,919.34x = 458,888.06 × 146,012.13
  4. Step 4: Simplify right side
    305,919.34x = 67,003,223,072.17
  5. Step 5: Solve for x
    x = 67,003,223,072.17/305,919.34
  6. Step 6: Final answer
    x = 219,022.51

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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.