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Finding the Fourth Proportional to 501,756.85, 692,372.32 and 283,989.97

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Solution

The fourth proportional to 501,756.85, 692,372.32 and 283,989.97 is: 391,876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,756.85 : 692,372.32 = 283,989.97 : x
  2. Step 2: Convert to fraction form
    501,756.85/692,372.32 = 283,989.97/x
  3. Step 3: Cross multiply
    501,756.85x = 692,372.32 × 283,989.97
  4. Step 4: Simplify right side
    501,756.85x = 196,626,794,385.63
  5. Step 5: Solve for x
    x = 196,626,794,385.63/501,756.85
  6. Step 6: Final answer
    x = 391,876.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.