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Finding the Fourth Proportional to 420,486.16, 580,272.96 and 229,504

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Solution

The fourth proportional to 420,486.16, 580,272.96 and 229,504 is: 316,716.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,486.16 : 580,272.96 = 229,504 : x
  2. Step 2: Convert to fraction form
    420,486.16/580,272.96 = 229,504/x
  3. Step 3: Cross multiply
    420,486.16x = 580,272.96 × 229,504
  4. Step 4: Simplify right side
    420,486.16x = 133,174,965,411.84
  5. Step 5: Solve for x
    x = 133,174,965,411.84/420,486.16
  6. Step 6: Final answer
    x = 316,716.64

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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.