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Finding the Fourth Proportional to 287,873.72, 397,266.39 and 160,557.51

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Solution

The fourth proportional to 287,873.72, 397,266.39 and 160,557.51 is: 221,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,873.72 : 397,266.39 = 160,557.51 : x
  2. Step 2: Convert to fraction form
    287,873.72/397,266.39 = 160,557.51/x
  3. Step 3: Cross multiply
    287,873.72x = 397,266.39 × 160,557.51
  4. Step 4: Simplify right side
    287,873.72x = 63,784,102,385.09
  5. Step 5: Solve for x
    x = 63,784,102,385.09/287,873.72
  6. Step 6: Final answer
    x = 221,569.73

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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.