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Finding the Fourth Proportional to 290,678.48, 401,115.44 and 159,865.34

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Solution

The fourth proportional to 290,678.48, 401,115.44 and 159,865.34 is: 220,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,678.48 : 401,115.44 = 159,865.34 : x
  2. Step 2: Convert to fraction form
    290,678.48/401,115.44 = 159,865.34/x
  3. Step 3: Cross multiply
    290,678.48x = 401,115.44 × 159,865.34
  4. Step 4: Simplify right side
    290,678.48x = 64,124,453,389.95
  5. Step 5: Solve for x
    x = 64,124,453,389.95/290,678.48
  6. Step 6: Final answer
    x = 220,602.69

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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.