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Finding the Fourth Proportional to 283,399, 391,090.66 and 156,074.36

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Solution

The fourth proportional to 283,399, 391,090.66 and 156,074.36 is: 215,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,399 : 391,090.66 = 156,074.36 : x
  2. Step 2: Convert to fraction form
    283,399/391,090.66 = 156,074.36/x
  3. Step 3: Cross multiply
    283,399x = 391,090.66 × 156,074.36
  4. Step 4: Simplify right side
    283,399x = 61,039,224,461.48
  5. Step 5: Solve for x
    x = 61,039,224,461.48/283,399
  6. Step 6: Final answer
    x = 215,382.64

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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.