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Finding the Fourth Proportional to 283,820.76, 425,335.74 and 143,415.48

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Solution

The fourth proportional to 283,820.76, 425,335.74 and 143,415.48 is: 214,923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,820.76 : 425,335.74 = 143,415.48 : x
  2. Step 2: Convert to fraction form
    283,820.76/425,335.74 = 143,415.48/x
  3. Step 3: Cross multiply
    283,820.76x = 425,335.74 × 143,415.48
  4. Step 4: Simplify right side
    283,820.76x = 60,999,729,313.26
  5. Step 5: Solve for x
    x = 60,999,729,313.26/283,820.76
  6. Step 6: Final answer
    x = 214,923.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.