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Finding the Fourth Proportional to 315,059.72, 434,769.30 and 171,817.16

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Solution

The fourth proportional to 315,059.72, 434,769.30 and 171,817.16 is: 237,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,059.72 : 434,769.30 = 171,817.16 : x
  2. Step 2: Convert to fraction form
    315,059.72/434,769.30 = 171,817.16/x
  3. Step 3: Cross multiply
    315,059.72x = 434,769.30 × 171,817.16
  4. Step 4: Simplify right side
    315,059.72x = 74,700,826,381.19
  5. Step 5: Solve for x
    x = 74,700,826,381.19/315,059.72
  6. Step 6: Final answer
    x = 237,100.53

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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.