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Finding the Fourth Proportional to 264,741.60, 397,027.02 and 87,206.40

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Solution

The fourth proportional to 264,741.60, 397,027.02 and 87,206.40 is: 130,781.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,741.60 : 397,027.02 = 87,206.40 : x
  2. Step 2: Convert to fraction form
    264,741.60/397,027.02 = 87,206.40/x
  3. Step 3: Cross multiply
    264,741.60x = 397,027.02 × 87,206.40
  4. Step 4: Simplify right side
    264,741.60x = 34,623,297,116.93
  5. Step 5: Solve for x
    x = 34,623,297,116.93/264,741.60
  6. Step 6: Final answer
    x = 130,781.48

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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.