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Finding the Fourth Proportional to 305,955.72, 458,713.75 and 143,758.31

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Solution

The fourth proportional to 305,955.72, 458,713.75 and 143,758.31 is: 215,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,955.72 : 458,713.75 = 143,758.31 : x
  2. Step 2: Convert to fraction form
    305,955.72/458,713.75 = 143,758.31/x
  3. Step 3: Cross multiply
    305,955.72x = 458,713.75 × 143,758.31
  4. Step 4: Simplify right side
    305,955.72x = 65,943,912,038.65
  5. Step 5: Solve for x
    x = 65,943,912,038.65/305,955.72
  6. Step 6: Final answer
    x = 215,534.17

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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.