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Finding the Fourth Proportional to 415,697.92, 623,601.92 and 135,120

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Solution

The fourth proportional to 415,697.92, 623,601.92 and 135,120 is: 202,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,697.92 : 623,601.92 = 135,120 : x
  2. Step 2: Convert to fraction form
    415,697.92/623,601.92 = 135,120/x
  3. Step 3: Cross multiply
    415,697.92x = 623,601.92 × 135,120
  4. Step 4: Simplify right side
    415,697.92x = 84,261,091,430.40
  5. Step 5: Solve for x
    x = 84,261,091,430.40/415,697.92
  6. Step 6: Final answer
    x = 202,697.89

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1.5x scale

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.