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Finding the Fourth Proportional to 288,970.41, 398,809.17 and 166,467.02

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Solution

The fourth proportional to 288,970.41, 398,809.17 and 166,467.02 is: 229,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,970.41 : 398,809.17 = 166,467.02 : x
  2. Step 2: Convert to fraction form
    288,970.41/398,809.17 = 166,467.02/x
  3. Step 3: Cross multiply
    288,970.41x = 398,809.17 × 166,467.02
  4. Step 4: Simplify right side
    288,970.41x = 66,388,572,084.53
  5. Step 5: Solve for x
    x = 66,388,572,084.53/288,970.41
  6. Step 6: Final answer
    x = 229,741.77

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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.