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Finding the Fourth Proportional to 269,687.76, 403,900.80 and 213,148.32

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Solution

The fourth proportional to 269,687.76, 403,900.80 and 213,148.32 is: 319,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,687.76 : 403,900.80 = 213,148.32 : x
  2. Step 2: Convert to fraction form
    269,687.76/403,900.80 = 213,148.32/x
  3. Step 3: Cross multiply
    269,687.76x = 403,900.80 × 213,148.32
  4. Step 4: Simplify right side
    269,687.76x = 86,090,776,966.66
  5. Step 5: Solve for x
    x = 86,090,776,966.66/269,687.76
  6. Step 6: Final answer
    x = 319,223.89

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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.