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Finding the Fourth Proportional to 309,687.77, 427,281.26 and 180,631.87

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Solution

The fourth proportional to 309,687.77, 427,281.26 and 180,631.87 is: 249,220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,687.77 : 427,281.26 = 180,631.87 : x
  2. Step 2: Convert to fraction form
    309,687.77/427,281.26 = 180,631.87/x
  3. Step 3: Cross multiply
    309,687.77x = 427,281.26 × 180,631.87
  4. Step 4: Simplify right side
    309,687.77x = 77,180,612,106.60
  5. Step 5: Solve for x
    x = 77,180,612,106.60/309,687.77
  6. Step 6: Final answer
    x = 249,220.73

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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.