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Finding the Fourth Proportional to 514,315.68, 770,738.44 and 289,203.66

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Solution

The fourth proportional to 514,315.68, 770,738.44 and 289,203.66 is: 433,392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,315.68 : 770,738.44 = 289,203.66 : x
  2. Step 2: Convert to fraction form
    514,315.68/770,738.44 = 289,203.66/x
  3. Step 3: Cross multiply
    514,315.68x = 770,738.44 × 289,203.66
  4. Step 4: Simplify right side
    514,315.68x = 222,900,377,750.69
  5. Step 5: Solve for x
    x = 222,900,377,750.69/514,315.68
  6. Step 6: Final answer
    x = 433,392.15

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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.