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Finding the Fourth Proportional to 385,506.86, 578,190.62 and 104,958.50

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Solution

The fourth proportional to 385,506.86, 578,190.62 and 104,958.50 is: 157,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,506.86 : 578,190.62 = 104,958.50 : x
  2. Step 2: Convert to fraction form
    385,506.86/578,190.62 = 104,958.50/x
  3. Step 3: Cross multiply
    385,506.86x = 578,190.62 × 104,958.50
  4. Step 4: Simplify right side
    385,506.86x = 60,686,016,773.52
  5. Step 5: Solve for x
    x = 60,686,016,773.52/385,506.86
  6. Step 6: Final answer
    x = 157,418.77

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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.