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Finding the Fourth Proportional to 436,476.91, 654,743.03 and 136,969.31

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Solution

The fourth proportional to 436,476.91, 654,743.03 and 136,969.31 is: 205,462.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,476.91 : 654,743.03 = 136,969.31 : x
  2. Step 2: Convert to fraction form
    436,476.91/654,743.03 = 136,969.31/x
  3. Step 3: Cross multiply
    436,476.91x = 654,743.03 × 136,969.31
  4. Step 4: Simplify right side
    436,476.91x = 89,679,699,471.17
  5. Step 5: Solve for x
    x = 89,679,699,471.17/436,476.91
  6. Step 6: Final answer
    x = 205,462.64

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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.