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Finding the Fourth Proportional to 283,754.48, 391,584.20 and 156,434.63

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Solution

The fourth proportional to 283,754.48, 391,584.20 and 156,434.63 is: 215,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,754.48 : 391,584.20 = 156,434.63 : x
  2. Step 2: Convert to fraction form
    283,754.48/391,584.20 = 156,434.63/x
  3. Step 3: Cross multiply
    283,754.48x = 391,584.20 × 156,434.63
  4. Step 4: Simplify right side
    283,754.48x = 61,257,326,700.75
  5. Step 5: Solve for x
    x = 61,257,326,700.75/283,754.48
  6. Step 6: Final answer
    x = 215,881.45

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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.