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Finding the Fourth Proportional to 389,101.55, 583,765.10 and 161,354.86

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Solution

The fourth proportional to 389,101.55, 583,765.10 and 161,354.86 is: 242,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,101.55 : 583,765.10 = 161,354.86 : x
  2. Step 2: Convert to fraction form
    389,101.55/583,765.10 = 161,354.86/x
  3. Step 3: Cross multiply
    389,101.55x = 583,765.10 × 161,354.86
  4. Step 4: Simplify right side
    389,101.55x = 94,193,335,983.39
  5. Step 5: Solve for x
    x = 94,193,335,983.39/389,101.55
  6. Step 6: Final answer
    x = 242,079.06

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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.