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Finding the Fourth Proportional to 287,695.53, 397,005.30 and 160,346.52

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Solution

The fourth proportional to 287,695.53, 397,005.30 and 160,346.52 is: 221,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,695.53 : 397,005.30 = 160,346.52 : x
  2. Step 2: Convert to fraction form
    287,695.53/397,005.30 = 160,346.52/x
  3. Step 3: Cross multiply
    287,695.53x = 397,005.30 × 160,346.52
  4. Step 4: Simplify right side
    287,695.53x = 63,658,418,276.56
  5. Step 5: Solve for x
    x = 63,658,418,276.56/287,695.53
  6. Step 6: Final answer
    x = 221,270.10

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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.