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Finding the Fourth Proportional to 304,935, 420,810.30 and 185,703

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Solution

The fourth proportional to 304,935, 420,810.30 and 185,703 is: 256,270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,935 : 420,810.30 = 185,703 : x
  2. Step 2: Convert to fraction form
    304,935/420,810.30 = 185,703/x
  3. Step 3: Cross multiply
    304,935x = 420,810.30 × 185,703
  4. Step 4: Simplify right side
    304,935x = 78,145,735,140.90
  5. Step 5: Solve for x
    x = 78,145,735,140.90/304,935
  6. Step 6: Final answer
    x = 256,270.14

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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.