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Finding the Fourth Proportional to 394,951.59, 592,667.96 and 142,210.94

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Solution

The fourth proportional to 394,951.59, 592,667.96 and 142,210.94 is: 213,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,951.59 : 592,667.96 = 142,210.94 : x
  2. Step 2: Convert to fraction form
    394,951.59/592,667.96 = 142,210.94/x
  3. Step 3: Cross multiply
    394,951.59x = 592,667.96 × 142,210.94
  4. Step 4: Simplify right side
    394,951.59x = 84,283,864,025.09
  5. Step 5: Solve for x
    x = 84,283,864,025.09/394,951.59
  6. Step 6: Final answer
    x = 213,403.02

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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.