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Finding the Fourth Proportional to 304,937, 420,813.08 and 185,705

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Solution

The fourth proportional to 304,937, 420,813.08 and 185,705 is: 256,272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,937 : 420,813.08 = 185,705 : x
  2. Step 2: Convert to fraction form
    304,937/420,813.08 = 185,705/x
  3. Step 3: Cross multiply
    304,937x = 420,813.08 × 185,705
  4. Step 4: Simplify right side
    304,937x = 78,147,093,021.40
  5. Step 5: Solve for x
    x = 78,147,093,021.40/304,937
  6. Step 6: Final answer
    x = 256,272.91

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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.