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Finding the Fourth Proportional to 362,427.32, 500,317.08 and 217,301.78

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Solution

The fourth proportional to 362,427.32, 500,317.08 and 217,301.78 is: 299,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,427.32 : 500,317.08 = 217,301.78 : x
  2. Step 2: Convert to fraction form
    362,427.32/500,317.08 = 217,301.78/x
  3. Step 3: Cross multiply
    362,427.32x = 500,317.08 × 217,301.78
  4. Step 4: Simplify right side
    362,427.32x = 108,719,792,048.40
  5. Step 5: Solve for x
    x = 108,719,792,048.40/362,427.32
  6. Step 6: Final answer
    x = 299,976.81

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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.