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Finding the Fourth Proportional to 513,372.90, 769,417.83 and 354,334.26

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Solution

The fourth proportional to 513,372.90, 769,417.83 and 354,334.26 is: 531,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,372.90 : 769,417.83 = 354,334.26 : x
  2. Step 2: Convert to fraction form
    513,372.90/769,417.83 = 354,334.26/x
  3. Step 3: Cross multiply
    513,372.90x = 769,417.83 × 354,334.26
  4. Step 4: Simplify right side
    513,372.90x = 272,631,097,423.86
  5. Step 5: Solve for x
    x = 272,631,097,423.86/513,372.90
  6. Step 6: Final answer
    x = 531,058.61

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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.