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Finding the Fourth Proportional to 431,875.64, 647,813.46 and 221,379.32

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Solution

The fourth proportional to 431,875.64, 647,813.46 and 221,379.32 is: 332,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,875.64 : 647,813.46 = 221,379.32 : x
  2. Step 2: Convert to fraction form
    431,875.64/647,813.46 = 221,379.32/x
  3. Step 3: Cross multiply
    431,875.64x = 647,813.46 × 221,379.32
  4. Step 4: Simplify right side
    431,875.64x = 143,412,503,261.65
  5. Step 5: Solve for x
    x = 143,412,503,261.65/431,875.64
  6. Step 6: Final answer
    x = 332,068.98

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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.