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Finding the Fourth Proportional to 305,719.30, 458,675.81 and 238,481.86

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Solution

The fourth proportional to 305,719.30, 458,675.81 and 238,481.86 is: 357,798.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,719.30 : 458,675.81 = 238,481.86 : x
  2. Step 2: Convert to fraction form
    305,719.30/458,675.81 = 238,481.86/x
  3. Step 3: Cross multiply
    305,719.30x = 458,675.81 × 238,481.86
  4. Step 4: Simplify right side
    305,719.30x = 109,385,859,113.40
  5. Step 5: Solve for x
    x = 109,385,859,113.40/305,719.30
  6. Step 6: Final answer
    x = 357,798.35

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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.