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Finding the Fourth Proportional to 806,906.72, 1,210,009.80 and 274,284.56

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Solution

The fourth proportional to 806,906.72, 1,210,009.80 and 274,284.56 is: 411,307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,906.72 : 1,210,009.80 = 274,284.56 : x
  2. Step 2: Convert to fraction form
    806,906.72/1,210,009.80 = 274,284.56/x
  3. Step 3: Cross multiply
    806,906.72x = 1,210,009.80 × 274,284.56
  4. Step 4: Simplify right side
    806,906.72x = 331,887,005,588.69
  5. Step 5: Solve for x
    x = 331,887,005,588.69/806,906.72
  6. Step 6: Final answer
    x = 411,307.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.