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Finding the Fourth Proportional to 386,752.56, 533,710.22 and 214,660.46

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Solution

The fourth proportional to 386,752.56, 533,710.22 and 214,660.46 is: 296,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,752.56 : 533,710.22 = 214,660.46 : x
  2. Step 2: Convert to fraction form
    386,752.56/533,710.22 = 214,660.46/x
  3. Step 3: Cross multiply
    386,752.56x = 533,710.22 × 214,660.46
  4. Step 4: Simplify right side
    386,752.56x = 114,566,481,331.90
  5. Step 5: Solve for x
    x = 114,566,481,331.90/386,752.56
  6. Step 6: Final answer
    x = 296,226.82

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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.