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Finding the Fourth Proportional to 287,893.92, 397,295.52 and 160,577.76

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Solution

The fourth proportional to 287,893.92, 397,295.52 and 160,577.76 is: 221,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,893.92 : 397,295.52 = 160,577.76 : x
  2. Step 2: Convert to fraction form
    287,893.92/397,295.52 = 160,577.76/x
  3. Step 3: Cross multiply
    287,893.92x = 397,295.52 × 160,577.76
  4. Step 4: Simplify right side
    287,893.92x = 63,796,824,659.64
  5. Step 5: Solve for x
    x = 63,796,824,659.64/287,893.92
  6. Step 6: Final answer
    x = 221,598.37

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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.