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Finding the Fourth Proportional to 384,078.40, 576,117.60 and 243,995.20

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Solution

The fourth proportional to 384,078.40, 576,117.60 and 243,995.20 is: 365,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,078.40 : 576,117.60 = 243,995.20 : x
  2. Step 2: Convert to fraction form
    384,078.40/576,117.60 = 243,995.20/x
  3. Step 3: Cross multiply
    384,078.40x = 576,117.60 × 243,995.20
  4. Step 4: Simplify right side
    384,078.40x = 140,569,929,035.52
  5. Step 5: Solve for x
    x = 140,569,929,035.52/384,078.40
  6. Step 6: Final answer
    x = 365,992.80

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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.