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Finding the Fourth Proportional to 613,510.53, 920,315.01 and 214,142.46

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Solution

The fourth proportional to 613,510.53, 920,315.01 and 214,142.46 is: 321,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,510.53 : 920,315.01 = 214,142.46 : x
  2. Step 2: Convert to fraction form
    613,510.53/920,315.01 = 214,142.46/x
  3. Step 3: Cross multiply
    613,510.53x = 920,315.01 × 214,142.46
  4. Step 4: Simplify right side
    613,510.53x = 197,078,520,216.33
  5. Step 5: Solve for x
    x = 197,078,520,216.33/613,510.53
  6. Step 6: Final answer
    x = 321,230.87

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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.