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Finding the Fourth Proportional to 566,215, 781,382.24 and 311,571.68

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Solution

The fourth proportional to 566,215, 781,382.24 and 311,571.68 is: 429,971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,215 : 781,382.24 = 311,571.68 : x
  2. Step 2: Convert to fraction form
    566,215/781,382.24 = 311,571.68/x
  3. Step 3: Cross multiply
    566,215x = 781,382.24 × 311,571.68
  4. Step 4: Simplify right side
    566,215x = 243,456,577,238.96
  5. Step 5: Solve for x
    x = 243,456,577,238.96/566,215
  6. Step 6: Final answer
    x = 429,971.97

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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.