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Finding the Fourth Proportional to 290,686.86, 401,111.80 and 168,200.28

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Solution

The fourth proportional to 290,686.86, 401,111.80 and 168,200.28 is: 232,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,686.86 : 401,111.80 = 168,200.28 : x
  2. Step 2: Convert to fraction form
    290,686.86/401,111.80 = 168,200.28/x
  3. Step 3: Cross multiply
    290,686.86x = 401,111.80 × 168,200.28
  4. Step 4: Simplify right side
    290,686.86x = 67,467,116,650.80
  5. Step 5: Solve for x
    x = 67,467,116,650.80/290,686.86
  6. Step 6: Final answer
    x = 232,095.52

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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.