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Finding the Fourth Proportional to 415,930.60, 624,111.90 and 194,314.60

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Solution

The fourth proportional to 415,930.60, 624,111.90 and 194,314.60 is: 291,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,930.60 : 624,111.90 = 194,314.60 : x
  2. Step 2: Convert to fraction form
    415,930.60/624,111.90 = 194,314.60/x
  3. Step 3: Cross multiply
    415,930.60x = 624,111.90 × 194,314.60
  4. Step 4: Simplify right side
    415,930.60x = 121,274,054,203.74
  5. Step 5: Solve for x
    x = 121,274,054,203.74/415,930.60
  6. Step 6: Final answer
    x = 291,572.81

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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.