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Finding the Fourth Proportional to 394,503.90, 591,742.89 and 157,783.02

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Solution

The fourth proportional to 394,503.90, 591,742.89 and 157,783.02 is: 236,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,503.90 : 591,742.89 = 157,783.02 : x
  2. Step 2: Convert to fraction form
    394,503.90/591,742.89 = 157,783.02/x
  3. Step 3: Cross multiply
    394,503.90x = 591,742.89 × 157,783.02
  4. Step 4: Simplify right side
    394,503.90x = 93,366,980,247.73
  5. Step 5: Solve for x
    x = 93,366,980,247.73/394,503.90
  6. Step 6: Final answer
    x = 236,669.35

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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.