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Finding the Fourth Proportional to 523,466.49, 783,649.70 and 323,142.76

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Solution

The fourth proportional to 523,466.49, 783,649.70 and 323,142.76 is: 483,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,466.49 : 783,649.70 = 323,142.76 : x
  2. Step 2: Convert to fraction form
    523,466.49/783,649.70 = 323,142.76/x
  3. Step 3: Cross multiply
    523,466.49x = 783,649.70 × 323,142.76
  4. Step 4: Simplify right side
    523,466.49x = 253,230,723,356.33
  5. Step 5: Solve for x
    x = 253,230,723,356.33/523,466.49
  6. Step 6: Final answer
    x = 483,757.28

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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.