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Finding the Fourth Proportional to 288,005.04, 397,448.10 and 160,686

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Solution

The fourth proportional to 288,005.04, 397,448.10 and 160,686 is: 221,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,005.04 : 397,448.10 = 160,686 : x
  2. Step 2: Convert to fraction form
    288,005.04/397,448.10 = 160,686/x
  3. Step 3: Cross multiply
    288,005.04x = 397,448.10 × 160,686
  4. Step 4: Simplify right side
    288,005.04x = 63,864,345,396.60
  5. Step 5: Solve for x
    x = 63,864,345,396.60/288,005.04
  6. Step 6: Final answer
    x = 221,747.32

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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.