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Finding the Fourth Proportional to 427,932.72, 642,006 and 128,418.82

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Solution

The fourth proportional to 427,932.72, 642,006 and 128,418.82 is: 192,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,932.72 : 642,006 = 128,418.82 : x
  2. Step 2: Convert to fraction form
    427,932.72/642,006 = 128,418.82/x
  3. Step 3: Cross multiply
    427,932.72x = 642,006 × 128,418.82
  4. Step 4: Simplify right side
    427,932.72x = 82,445,651,347.91
  5. Step 5: Solve for x
    x = 82,445,651,347.91/427,932.72
  6. Step 6: Final answer
    x = 192,660.31

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1.5x scale

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.