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Finding the Fourth Proportional to 395,422.90, 593,011.63 and 142,670.53

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Solution

The fourth proportional to 395,422.90, 593,011.63 and 142,670.53 is: 213,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,422.90 : 593,011.63 = 142,670.53 : x
  2. Step 2: Convert to fraction form
    395,422.90/593,011.63 = 142,670.53/x
  3. Step 3: Cross multiply
    395,422.90x = 593,011.63 × 142,670.53
  4. Step 4: Simplify right side
    395,422.90x = 84,605,284,467.87
  5. Step 5: Solve for x
    x = 84,605,284,467.87/395,422.90
  6. Step 6: Final answer
    x = 213,961.52

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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.