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Finding the Fourth Proportional to 420,226, 579,960.44 and 233,976.20

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Solution

The fourth proportional to 420,226, 579,960.44 and 233,976.20 is: 322,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,226 : 579,960.44 = 233,976.20 : x
  2. Step 2: Convert to fraction form
    420,226/579,960.44 = 233,976.20/x
  3. Step 3: Cross multiply
    420,226x = 579,960.44 × 233,976.20
  4. Step 4: Simplify right side
    420,226x = 135,696,939,901.53
  5. Step 5: Solve for x
    x = 135,696,939,901.53/420,226
  6. Step 6: Final answer
    x = 322,914.19

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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.