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Finding the Fourth Proportional to 513,104.40, 769,740.84 and 158,118.48

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Solution

The fourth proportional to 513,104.40, 769,740.84 and 158,118.48 is: 237,203.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,104.40 : 769,740.84 = 158,118.48 : x
  2. Step 2: Convert to fraction form
    513,104.40/769,740.84 = 158,118.48/x
  3. Step 3: Cross multiply
    513,104.40x = 769,740.84 × 158,118.48
  4. Step 4: Simplify right side
    513,104.40x = 121,710,251,614.72
  5. Step 5: Solve for x
    x = 121,710,251,614.72/513,104.40
  6. Step 6: Final answer
    x = 237,203.68

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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.