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Finding the Fourth Proportional to 384,789.60, 577,184.40 and 313,930.80

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Solution

The fourth proportional to 384,789.60, 577,184.40 and 313,930.80 is: 470,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,789.60 : 577,184.40 = 313,930.80 : x
  2. Step 2: Convert to fraction form
    384,789.60/577,184.40 = 313,930.80/x
  3. Step 3: Cross multiply
    384,789.60x = 577,184.40 × 313,930.80
  4. Step 4: Simplify right side
    384,789.60x = 181,195,960,439.52
  5. Step 5: Solve for x
    x = 181,195,960,439.52/384,789.60
  6. Step 6: Final answer
    x = 470,896.20

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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.