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Finding the Fourth Proportional to 392,706.75, 589,060.13 and 97,218.75

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Solution

The fourth proportional to 392,706.75, 589,060.13 and 97,218.75 is: 145,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,706.75 : 589,060.13 = 97,218.75 : x
  2. Step 2: Convert to fraction form
    392,706.75/589,060.13 = 97,218.75/x
  3. Step 3: Cross multiply
    392,706.75x = 589,060.13 × 97,218.75
  4. Step 4: Simplify right side
    392,706.75x = 57,267,689,027.34
  5. Step 5: Solve for x
    x = 57,267,689,027.34/392,706.75
  6. Step 6: Final answer
    x = 145,828.13

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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.