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Finding the Fourth Proportional to 400,685.72, 552,946.43 and 219,409.13

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Solution

The fourth proportional to 400,685.72, 552,946.43 and 219,409.13 is: 302,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,685.72 : 552,946.43 = 219,409.13 : x
  2. Step 2: Convert to fraction form
    400,685.72/552,946.43 = 219,409.13/x
  3. Step 3: Cross multiply
    400,685.72x = 552,946.43 × 219,409.13
  4. Step 4: Simplify right side
    400,685.72x = 121,321,497,073.80
  5. Step 5: Solve for x
    x = 121,321,497,073.80/400,685.72
  6. Step 6: Final answer
    x = 302,784.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.