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Finding the Fourth Proportional to 415,958.53, 623,937.80 and 135,475.78

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Solution

The fourth proportional to 415,958.53, 623,937.80 and 135,475.78 is: 203,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,958.53 : 623,937.80 = 135,475.78 : x
  2. Step 2: Convert to fraction form
    415,958.53/623,937.80 = 135,475.78/x
  3. Step 3: Cross multiply
    415,958.53x = 623,937.80 × 135,475.78
  4. Step 4: Simplify right side
    415,958.53x = 84,528,460,126.48
  5. Step 5: Solve for x
    x = 84,528,460,126.48/415,958.53
  6. Step 6: Final answer
    x = 203,213.67

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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.