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Finding the Fourth Proportional to 420,411.31, 580,186.53 and 236,713.15

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Solution

The fourth proportional to 420,411.31, 580,186.53 and 236,713.15 is: 326,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,411.31 : 580,186.53 = 236,713.15 : x
  2. Step 2: Convert to fraction form
    420,411.31/580,186.53 = 236,713.15/x
  3. Step 3: Cross multiply
    420,411.31x = 580,186.53 × 236,713.15
  4. Step 4: Simplify right side
    420,411.31x = 137,337,781,103.87
  5. Step 5: Solve for x
    x = 137,337,781,103.87/420,411.31
  6. Step 6: Final answer
    x = 326,674.80

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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.