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Finding the Fourth Proportional to 400,816.81, 553,133.10 and 219,545.56

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Solution

The fourth proportional to 400,816.81, 553,133.10 and 219,545.56 is: 302,976.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,816.81 : 553,133.10 = 219,545.56 : x
  2. Step 2: Convert to fraction form
    400,816.81/553,133.10 = 219,545.56/x
  3. Step 3: Cross multiply
    400,816.81x = 553,133.10 × 219,545.56
  4. Step 4: Simplify right side
    400,816.81x = 121,437,916,194.04
  5. Step 5: Solve for x
    x = 121,437,916,194.04/400,816.81
  6. Step 6: Final answer
    x = 302,976.11

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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.