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Finding the Fourth Proportional to 287,729.79, 397,068.81 and 166,943.01

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Solution

The fourth proportional to 287,729.79, 397,068.81 and 166,943.01 is: 230,382.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729.79 : 397,068.81 = 166,943.01 : x
  2. Step 2: Convert to fraction form
    287,729.79/397,068.81 = 166,943.01/x
  3. Step 3: Cross multiply
    287,729.79x = 397,068.81 × 166,943.01
  4. Step 4: Simplify right side
    287,729.79x = 66,287,862,318.52
  5. Step 5: Solve for x
    x = 66,287,862,318.52/287,729.79
  6. Step 6: Final answer
    x = 230,382.34

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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.