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Finding the Fourth Proportional to 304,802, 420,529.56 and 197,454.32

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Solution

The fourth proportional to 304,802, 420,529.56 and 197,454.32 is: 272,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,802 : 420,529.56 = 197,454.32 : x
  2. Step 2: Convert to fraction form
    304,802/420,529.56 = 197,454.32/x
  3. Step 3: Cross multiply
    304,802x = 420,529.56 × 197,454.32
  4. Step 4: Simplify right side
    304,802x = 83,035,378,309.70
  5. Step 5: Solve for x
    x = 83,035,378,309.70/304,802
  6. Step 6: Final answer
    x = 272,423.99

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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.