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Finding the Fourth Proportional to 667,891.32, 921,784.50 and 413,324.52

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Solution

The fourth proportional to 667,891.32, 921,784.50 and 413,324.52 is: 570,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,891.32 : 921,784.50 = 413,324.52 : x
  2. Step 2: Convert to fraction form
    667,891.32/921,784.50 = 413,324.52/x
  3. Step 3: Cross multiply
    667,891.32x = 921,784.50 × 413,324.52
  4. Step 4: Simplify right side
    667,891.32x = 380,996,136,005.94
  5. Step 5: Solve for x
    x = 380,996,136,005.94/667,891.32
  6. Step 6: Final answer
    x = 570,446.31

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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.