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Finding the Fourth Proportional to 287,574.70, 431,362.05 and 264,829.90

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Solution

The fourth proportional to 287,574.70, 431,362.05 and 264,829.90 is: 397,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574.70 : 431,362.05 = 264,829.90 : x
  2. Step 2: Convert to fraction form
    287,574.70/431,362.05 = 264,829.90/x
  3. Step 3: Cross multiply
    287,574.70x = 431,362.05 × 264,829.90
  4. Step 4: Simplify right side
    287,574.70x = 114,237,568,565.30
  5. Step 5: Solve for x
    x = 114,237,568,565.30/287,574.70
  6. Step 6: Final answer
    x = 397,244.85

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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.