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Finding the Fourth Proportional to 283,604.10, 425,005.20 and 157,300

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Solution

The fourth proportional to 283,604.10, 425,005.20 and 157,300 is: 235,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,604.10 : 425,005.20 = 157,300 : x
  2. Step 2: Convert to fraction form
    283,604.10/425,005.20 = 157,300/x
  3. Step 3: Cross multiply
    283,604.10x = 425,005.20 × 157,300
  4. Step 4: Simplify right side
    283,604.10x = 66,853,317,960
  5. Step 5: Solve for x
    x = 66,853,317,960/283,604.10
  6. Step 6: Final answer
    x = 235,727.61

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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.