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Finding the Fourth Proportional to 357,428.70, 493,263.09 and 206,525.70

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Solution

The fourth proportional to 357,428.70, 493,263.09 and 206,525.70 is: 285,012.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,428.70 : 493,263.09 = 206,525.70 : x
  2. Step 2: Convert to fraction form
    357,428.70/493,263.09 = 206,525.70/x
  3. Step 3: Cross multiply
    357,428.70x = 493,263.09 × 206,525.70
  4. Step 4: Simplify right side
    357,428.70x = 101,871,504,946.41
  5. Step 5: Solve for x
    x = 101,871,504,946.41/357,428.70
  6. Step 6: Final answer
    x = 285,012.10

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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.