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Finding the Fourth Proportional to 380,356.62, 570,541.41 and 143,810.70

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Solution

The fourth proportional to 380,356.62, 570,541.41 and 143,810.70 is: 215,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,356.62 : 570,541.41 = 143,810.70 : x
  2. Step 2: Convert to fraction form
    380,356.62/570,541.41 = 143,810.70/x
  3. Step 3: Cross multiply
    380,356.62x = 570,541.41 × 143,810.70
  4. Step 4: Simplify right side
    380,356.62x = 82,049,959,551.09
  5. Step 5: Solve for x
    x = 82,049,959,551.09/380,356.62
  6. Step 6: Final answer
    x = 215,718.50

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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.