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Finding the Fourth Proportional to 283,713.51, 391,525.88 and 156,386.37

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Solution

The fourth proportional to 283,713.51, 391,525.88 and 156,386.37 is: 215,813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,713.51 : 391,525.88 = 156,386.37 : x
  2. Step 2: Convert to fraction form
    283,713.51/391,525.88 = 156,386.37/x
  3. Step 3: Cross multiply
    283,713.51x = 391,525.88 × 156,386.37
  4. Step 4: Simplify right side
    283,713.51x = 61,229,310,352.32
  5. Step 5: Solve for x
    x = 61,229,310,352.32/283,713.51
  6. Step 6: Final answer
    x = 215,813.87

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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.