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Finding the Fourth Proportional to 309,650.52, 427,216.76 and 180,559.78

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Solution

The fourth proportional to 309,650.52, 427,216.76 and 180,559.78 is: 249,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,650.52 : 427,216.76 = 180,559.78 : x
  2. Step 2: Convert to fraction form
    309,650.52/427,216.76 = 180,559.78/x
  3. Step 3: Cross multiply
    309,650.52x = 427,216.76 × 180,559.78
  4. Step 4: Simplify right side
    309,650.52x = 77,138,164,197.91
  5. Step 5: Solve for x
    x = 77,138,164,197.91/309,650.52
  6. Step 6: Final answer
    x = 249,113.63

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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.