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Finding the Fourth Proportional to 290,904.72, 436,218.38 and 101,341.77

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Solution

The fourth proportional to 290,904.72, 436,218.38 and 101,341.77 is: 151,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,904.72 : 436,218.38 = 101,341.77 : x
  2. Step 2: Convert to fraction form
    290,904.72/436,218.38 = 101,341.77/x
  3. Step 3: Cross multiply
    290,904.72x = 436,218.38 × 101,341.77
  4. Step 4: Simplify right side
    290,904.72x = 44,207,142,735.73
  5. Step 5: Solve for x
    x = 44,207,142,735.73/290,904.72
  6. Step 6: Final answer
    x = 151,964.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.