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Finding the Fourth Proportional to 810,859.76, 1,216,101.02 and 305,471.40

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Solution

The fourth proportional to 810,859.76, 1,216,101.02 and 305,471.40 is: 458,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,859.76 : 1,216,101.02 = 305,471.40 : x
  2. Step 2: Convert to fraction form
    810,859.76/1,216,101.02 = 305,471.40/x
  3. Step 3: Cross multiply
    810,859.76x = 1,216,101.02 × 305,471.40
  4. Step 4: Simplify right side
    810,859.76x = 371,484,081,120.83
  5. Step 5: Solve for x
    x = 371,484,081,120.83/810,859.76
  6. Step 6: Final answer
    x = 458,136.04

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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.