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Finding the Fourth Proportional to 262,419.20, 393,628.80 and 209,931.20

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Solution

The fourth proportional to 262,419.20, 393,628.80 and 209,931.20 is: 314,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,419.20 : 393,628.80 = 209,931.20 : x
  2. Step 2: Convert to fraction form
    262,419.20/393,628.80 = 209,931.20/x
  3. Step 3: Cross multiply
    262,419.20x = 393,628.80 × 209,931.20
  4. Step 4: Simplify right side
    262,419.20x = 82,634,966,338.56
  5. Step 5: Solve for x
    x = 82,634,966,338.56/262,419.20
  6. Step 6: Final answer
    x = 314,896.80

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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.