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Finding the Fourth Proportional to 288,972.02, 398,802.42 and 161,688.62

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Solution

The fourth proportional to 288,972.02, 398,802.42 and 161,688.62 is: 223,142.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,972.02 : 398,802.42 = 161,688.62 : x
  2. Step 2: Convert to fraction form
    288,972.02/398,802.42 = 161,688.62/x
  3. Step 3: Cross multiply
    288,972.02x = 398,802.42 × 161,688.62
  4. Step 4: Simplify right side
    288,972.02x = 64,481,813,939.47
  5. Step 5: Solve for x
    x = 64,481,813,939.47/288,972.02
  6. Step 6: Final answer
    x = 223,142.07

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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.