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Finding the Fourth Proportional to 380,621.52, 570,932.28 and 158,850

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Solution

The fourth proportional to 380,621.52, 570,932.28 and 158,850 is: 238,275

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,621.52 : 570,932.28 = 158,850 : x
  2. Step 2: Convert to fraction form
    380,621.52/570,932.28 = 158,850/x
  3. Step 3: Cross multiply
    380,621.52x = 570,932.28 × 158,850
  4. Step 4: Simplify right side
    380,621.52x = 90,692,592,678
  5. Step 5: Solve for x
    x = 90,692,592,678/380,621.52
  6. Step 6: Final answer
    x = 238,275

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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.