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Finding the Fourth Proportional to 287,957.82, 397,122.75 and 180,538.86

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Solution

The fourth proportional to 287,957.82, 397,122.75 and 180,538.86 is: 248,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,957.82 : 397,122.75 = 180,538.86 : x
  2. Step 2: Convert to fraction form
    287,957.82/397,122.75 = 180,538.86/x
  3. Step 3: Cross multiply
    287,957.82x = 397,122.75 × 180,538.86
  4. Step 4: Simplify right side
    287,957.82x = 71,696,088,565.07
  5. Step 5: Solve for x
    x = 71,696,088,565.07/287,957.82
  6. Step 6: Final answer
    x = 248,981.22

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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.