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Finding the Fourth Proportional to 312,104.61, 430,701.30 and 168,861.51

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Solution

The fourth proportional to 312,104.61, 430,701.30 and 168,861.51 is: 233,027.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,104.61 : 430,701.30 = 168,861.51 : x
  2. Step 2: Convert to fraction form
    312,104.61/430,701.30 = 168,861.51/x
  3. Step 3: Cross multiply
    312,104.61x = 430,701.30 × 168,861.51
  4. Step 4: Simplify right side
    312,104.61x = 72,728,871,876.96
  5. Step 5: Solve for x
    x = 72,728,871,876.96/312,104.61
  6. Step 6: Final answer
    x = 233,027.23

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1.5x scale

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.