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Finding the Fourth Proportional to 384,346.71, 576,460.80 and 131,569.20

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Solution

The fourth proportional to 384,346.71, 576,460.80 and 131,569.20 is: 197,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,346.71 : 576,460.80 = 131,569.20 : x
  2. Step 2: Convert to fraction form
    384,346.71/576,460.80 = 131,569.20/x
  3. Step 3: Cross multiply
    384,346.71x = 576,460.80 × 131,569.20
  4. Step 4: Simplify right side
    384,346.71x = 75,844,486,287.36
  5. Step 5: Solve for x
    x = 75,844,486,287.36/384,346.71
  6. Step 6: Final answer
    x = 197,333.51

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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.