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Finding the Fourth Proportional to 305,386.98, 458,111.85 and 105,707.04

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Solution

The fourth proportional to 305,386.98, 458,111.85 and 105,707.04 is: 158,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,386.98 : 458,111.85 = 105,707.04 : x
  2. Step 2: Convert to fraction form
    305,386.98/458,111.85 = 105,707.04/x
  3. Step 3: Cross multiply
    305,386.98x = 458,111.85 × 105,707.04
  4. Step 4: Simplify right side
    305,386.98x = 48,425,647,652.42
  5. Step 5: Solve for x
    x = 48,425,647,652.42/305,386.98
  6. Step 6: Final answer
    x = 158,571.42

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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.