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Finding the Fourth Proportional to 304,602, 420,292.41 and 197,157.12

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Solution

The fourth proportional to 304,602, 420,292.41 and 197,157.12 is: 272,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,602 : 420,292.41 = 197,157.12 : x
  2. Step 2: Convert to fraction form
    304,602/420,292.41 = 197,157.12/x
  3. Step 3: Cross multiply
    304,602x = 420,292.41 × 197,157.12
  4. Step 4: Simplify right side
    304,602x = 82,863,641,113.46
  5. Step 5: Solve for x
    x = 82,863,641,113.46/304,602
  6. Step 6: Final answer
    x = 272,039.06

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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.