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Finding the Fourth Proportional to 283,754.21, 391,583.52 and 156,434.36

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Solution

The fourth proportional to 283,754.21, 391,583.52 and 156,434.36 is: 215,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,754.21 : 391,583.52 = 156,434.36 : x
  2. Step 2: Convert to fraction form
    283,754.21/391,583.52 = 156,434.36/x
  3. Step 3: Cross multiply
    283,754.21x = 391,583.52 × 156,434.36
  4. Step 4: Simplify right side
    283,754.21x = 61,257,115,379.83
  5. Step 5: Solve for x
    x = 61,257,115,379.83/283,754.21
  6. Step 6: Final answer
    x = 215,880.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.