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Finding the Fourth Proportional to 283,701.40, 391,507.94 and 156,379.74

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Solution

The fourth proportional to 283,701.40, 391,507.94 and 156,379.74 is: 215,804.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,701.40 : 391,507.94 = 156,379.74 : x
  2. Step 2: Convert to fraction form
    283,701.40/391,507.94 = 156,379.74/x
  3. Step 3: Cross multiply
    283,701.40x = 391,507.94 × 156,379.74
  4. Step 4: Simplify right side
    283,701.40x = 61,223,909,865.14
  5. Step 5: Solve for x
    x = 61,223,909,865.14/283,701.40
  6. Step 6: Final answer
    x = 215,804.05

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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.