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Finding the Fourth Proportional to 512,913.40, 770,291.70 and 496,324.60

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Solution

The fourth proportional to 512,913.40, 770,291.70 and 496,324.60 is: 745,378.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,913.40 : 770,291.70 = 496,324.60 : x
  2. Step 2: Convert to fraction form
    512,913.40/770,291.70 = 496,324.60/x
  3. Step 3: Cross multiply
    512,913.40x = 770,291.70 × 496,324.60
  4. Step 4: Simplify right side
    512,913.40x = 382,314,719,885.82
  5. Step 5: Solve for x
    x = 382,314,719,885.82/512,913.40
  6. Step 6: Final answer
    x = 745,378.69

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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.