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Finding the Fourth Proportional to 381,539.25, 572,319.81 and 101,056.50

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Solution

The fourth proportional to 381,539.25, 572,319.81 and 101,056.50 is: 151,587.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,539.25 : 572,319.81 = 101,056.50 : x
  2. Step 2: Convert to fraction form
    381,539.25/572,319.81 = 101,056.50/x
  3. Step 3: Cross multiply
    381,539.25x = 572,319.81 × 101,056.50
  4. Step 4: Simplify right side
    381,539.25x = 57,836,636,879.27
  5. Step 5: Solve for x
    x = 57,836,636,879.27/381,539.25
  6. Step 6: Final answer
    x = 151,587.65

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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.