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Finding the Fourth Proportional to 287,924.63, 431,033.70 and 213,379.21

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Solution

The fourth proportional to 287,924.63, 431,033.70 and 213,379.21 is: 319,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,924.63 : 431,033.70 = 213,379.21 : x
  2. Step 2: Convert to fraction form
    287,924.63/431,033.70 = 213,379.21/x
  3. Step 3: Cross multiply
    287,924.63x = 431,033.70 × 213,379.21
  4. Step 4: Simplify right side
    287,924.63x = 91,973,631,728.34
  5. Step 5: Solve for x
    x = 91,973,631,728.34/287,924.63
  6. Step 6: Final answer
    x = 319,436.49

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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.