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Finding the Fourth Proportional to 384,019.60, 576,029.40 and 117,821.20

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Solution

The fourth proportional to 384,019.60, 576,029.40 and 117,821.20 is: 176,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,019.60 : 576,029.40 = 117,821.20 : x
  2. Step 2: Convert to fraction form
    384,019.60/576,029.40 = 117,821.20/x
  3. Step 3: Cross multiply
    384,019.60x = 576,029.40 × 117,821.20
  4. Step 4: Simplify right side
    384,019.60x = 67,868,475,143.28
  5. Step 5: Solve for x
    x = 67,868,475,143.28/384,019.60
  6. Step 6: Final answer
    x = 176,731.80

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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.