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Finding the Fourth Proportional to 290,678.97, 401,116.13 and 159,865.83

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Solution

The fourth proportional to 290,678.97, 401,116.13 and 159,865.83 is: 220,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,678.97 : 401,116.13 = 159,865.83 : x
  2. Step 2: Convert to fraction form
    290,678.97/401,116.13 = 159,865.83/x
  3. Step 3: Cross multiply
    290,678.97x = 401,116.13 × 159,865.83
  4. Step 4: Simplify right side
    290,678.97x = 64,124,763,048.84
  5. Step 5: Solve for x
    x = 64,124,763,048.84/290,678.97
  6. Step 6: Final answer
    x = 220,603.38

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1.5x scale

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.