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Finding the Fourth Proportional to 288,199.69, 397,715.17 and 160,875.28

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Solution

The fourth proportional to 288,199.69, 397,715.17 and 160,875.28 is: 222,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,199.69 : 397,715.17 = 160,875.28 : x
  2. Step 2: Convert to fraction form
    288,199.69/397,715.17 = 160,875.28/x
  3. Step 3: Cross multiply
    288,199.69x = 397,715.17 × 160,875.28
  4. Step 4: Simplify right side
    288,199.69x = 63,982,539,334.00
  5. Step 5: Solve for x
    x = 63,982,539,334.00/288,199.69
  6. Step 6: Final answer
    x = 222,007.66

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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.