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Finding the Fourth Proportional to 384,908.80, 576,931.20 and 185,324.80

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Solution

The fourth proportional to 384,908.80, 576,931.20 and 185,324.80 is: 277,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,908.80 : 576,931.20 = 185,324.80 : x
  2. Step 2: Convert to fraction form
    384,908.80/576,931.20 = 185,324.80/x
  3. Step 3: Cross multiply
    384,908.80x = 576,931.20 × 185,324.80
  4. Step 4: Simplify right side
    384,908.80x = 106,919,659,253.76
  5. Step 5: Solve for x
    x = 106,919,659,253.76/384,908.80
  6. Step 6: Final answer
    x = 277,779.20

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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.