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Finding the Fourth Proportional to 308,031.04, 424,923.61 and 194,919.40

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Solution

The fourth proportional to 308,031.04, 424,923.61 and 194,919.40 is: 268,888.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,031.04 : 424,923.61 = 194,919.40 : x
  2. Step 2: Convert to fraction form
    308,031.04/424,923.61 = 194,919.40/x
  3. Step 3: Cross multiply
    308,031.04x = 424,923.61 × 194,919.40
  4. Step 4: Simplify right side
    308,031.04x = 82,825,855,107.03
  5. Step 5: Solve for x
    x = 82,825,855,107.03/308,031.04
  6. Step 6: Final answer
    x = 268,888.02

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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.