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Finding the Fourth Proportional to 262,295.40, 392,859.90 and 202,938.60

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Solution

The fourth proportional to 262,295.40, 392,859.90 and 202,938.60 is: 303,956.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,295.40 : 392,859.90 = 202,938.60 : x
  2. Step 2: Convert to fraction form
    262,295.40/392,859.90 = 202,938.60/x
  3. Step 3: Cross multiply
    262,295.40x = 392,859.90 × 202,938.60
  4. Step 4: Simplify right side
    262,295.40x = 79,726,438,102.14
  5. Step 5: Solve for x
    x = 79,726,438,102.14/262,295.40
  6. Step 6: Final answer
    x = 303,956.68

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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.