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Finding the Fourth Proportional to 304,941.78, 420,545.52 and 197,399.70

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Solution

The fourth proportional to 304,941.78, 420,545.52 and 197,399.70 is: 272,234.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,941.78 : 420,545.52 = 197,399.70 : x
  2. Step 2: Convert to fraction form
    304,941.78/420,545.52 = 197,399.70/x
  3. Step 3: Cross multiply
    304,941.78x = 420,545.52 × 197,399.70
  4. Step 4: Simplify right side
    304,941.78x = 83,015,559,484.34
  5. Step 5: Solve for x
    x = 83,015,559,484.34/304,941.78
  6. Step 6: Final answer
    x = 272,234.13

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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.