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Finding the Fourth Proportional to 283,102.61, 390,692.37 and 162,267.21

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Solution

The fourth proportional to 283,102.61, 390,692.37 and 162,267.21 is: 223,934.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,102.61 : 390,692.37 = 162,267.21 : x
  2. Step 2: Convert to fraction form
    283,102.61/390,692.37 = 162,267.21/x
  3. Step 3: Cross multiply
    283,102.61x = 390,692.37 × 162,267.21
  4. Step 4: Simplify right side
    283,102.61x = 63,396,560,848.19
  5. Step 5: Solve for x
    x = 63,396,560,848.19/283,102.61
  6. Step 6: Final answer
    x = 223,934.93

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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.