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Finding the Fourth Proportional to 287,183.72, 431,041.55 and 145,128.96

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Solution

The fourth proportional to 287,183.72, 431,041.55 and 145,128.96 is: 217,827.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,183.72 : 431,041.55 = 145,128.96 : x
  2. Step 2: Convert to fraction form
    287,183.72/431,041.55 = 145,128.96/x
  3. Step 3: Cross multiply
    287,183.72x = 431,041.55 × 145,128.96
  4. Step 4: Simplify right side
    287,183.72x = 62,556,612,231.11
  5. Step 5: Solve for x
    x = 62,556,612,231.11/287,183.72
  6. Step 6: Final answer
    x = 217,827.85

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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.