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Finding the Fourth Proportional to 395,311.65, 593,078.17 and 158,820.40

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Solution

The fourth proportional to 395,311.65, 593,078.17 and 158,820.40 is: 238,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,311.65 : 593,078.17 = 158,820.40 : x
  2. Step 2: Convert to fraction form
    395,311.65/593,078.17 = 158,820.40/x
  3. Step 3: Cross multiply
    395,311.65x = 593,078.17 × 158,820.40
  4. Step 4: Simplify right side
    395,311.65x = 94,192,912,190.67
  5. Step 5: Solve for x
    x = 94,192,912,190.67/395,311.65
  6. Step 6: Final answer
    x = 238,275.07

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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.