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Finding the Fourth Proportional to 347,969.90, 521,947.83 and 111,312.56

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Solution

The fourth proportional to 347,969.90, 521,947.83 and 111,312.56 is: 166,966.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,969.90 : 521,947.83 = 111,312.56 : x
  2. Step 2: Convert to fraction form
    347,969.90/521,947.83 = 111,312.56/x
  3. Step 3: Cross multiply
    347,969.90x = 521,947.83 × 111,312.56
  4. Step 4: Simplify right side
    347,969.90x = 58,099,349,143.74
  5. Step 5: Solve for x
    x = 58,099,349,143.74/347,969.90
  6. Step 6: Final answer
    x = 166,966.59

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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.