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Finding the Fourth Proportional to 303,072.16, 418,068.32 and 189,698.08

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Solution

The fourth proportional to 303,072.16, 418,068.32 and 189,698.08 is: 261,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,072.16 : 418,068.32 = 189,698.08 : x
  2. Step 2: Convert to fraction form
    303,072.16/418,068.32 = 189,698.08/x
  3. Step 3: Cross multiply
    303,072.16x = 418,068.32 × 189,698.08
  4. Step 4: Simplify right side
    303,072.16x = 79,306,757,612.83
  5. Step 5: Solve for x
    x = 79,306,757,612.83/303,072.16
  6. Step 6: Final answer
    x = 261,676.16

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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.