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Finding the Fourth Proportional to 394,412.40, 591,618.60 and 194,828.40

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Solution

The fourth proportional to 394,412.40, 591,618.60 and 194,828.40 is: 292,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,412.40 : 591,618.60 = 194,828.40 : x
  2. Step 2: Convert to fraction form
    394,412.40/591,618.60 = 194,828.40/x
  3. Step 3: Cross multiply
    394,412.40x = 591,618.60 × 194,828.40
  4. Step 4: Simplify right side
    394,412.40x = 115,264,105,248.24
  5. Step 5: Solve for x
    x = 115,264,105,248.24/394,412.40
  6. Step 6: Final answer
    x = 292,242.60

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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.