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Finding the Fourth Proportional to 304,808.46, 420,544.68 and 197,208.06

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Solution

The fourth proportional to 304,808.46, 420,544.68 and 197,208.06 is: 272,088.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,808.46 : 420,544.68 = 197,208.06 : x
  2. Step 2: Convert to fraction form
    304,808.46/420,544.68 = 197,208.06/x
  3. Step 3: Cross multiply
    304,808.46x = 420,544.68 × 197,208.06
  4. Step 4: Simplify right side
    304,808.46x = 82,934,800,486.12
  5. Step 5: Solve for x
    x = 82,934,800,486.12/304,808.46
  6. Step 6: Final answer
    x = 272,088.25

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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.