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Finding the Fourth Proportional to 294,117.30, 405,881.84 and 159,981.30

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Solution

The fourth proportional to 294,117.30, 405,881.84 and 159,981.30 is: 220,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,117.30 : 405,881.84 = 159,981.30 : x
  2. Step 2: Convert to fraction form
    294,117.30/405,881.84 = 159,981.30/x
  3. Step 3: Cross multiply
    294,117.30x = 405,881.84 × 159,981.30
  4. Step 4: Simplify right side
    294,117.30x = 64,933,503,609.69
  5. Step 5: Solve for x
    x = 64,933,503,609.69/294,117.30
  6. Step 6: Final answer
    x = 220,774.17

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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.