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Finding the Fourth Proportional to 288,175, 397,727.58 and 168,943

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Solution

The fourth proportional to 288,175, 397,727.58 and 168,943 is: 233,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175 : 397,727.58 = 168,943 : x
  2. Step 2: Convert to fraction form
    288,175/397,727.58 = 168,943/x
  3. Step 3: Cross multiply
    288,175x = 397,727.58 × 168,943
  4. Step 4: Simplify right side
    288,175x = 67,193,290,547.94
  5. Step 5: Solve for x
    x = 67,193,290,547.94/288,175
  6. Step 6: Final answer
    x = 233,168.35

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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.