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Finding the Fourth Proportional to 283,108.50, 390,692.50 and 155,786.84

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Solution

The fourth proportional to 283,108.50, 390,692.50 and 155,786.84 is: 214,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,108.50 : 390,692.50 = 155,786.84 : x
  2. Step 2: Convert to fraction form
    283,108.50/390,692.50 = 155,786.84/x
  3. Step 3: Cross multiply
    283,108.50x = 390,692.50 × 155,786.84
  4. Step 4: Simplify right side
    283,108.50x = 60,864,749,986.70
  5. Step 5: Solve for x
    x = 60,864,749,986.70/283,108.50
  6. Step 6: Final answer
    x = 214,987.36

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1.5x scale

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.