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Finding the Fourth Proportional to 769,548.70, 1,153,316.40 and 413,796.70

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Solution

The fourth proportional to 769,548.70, 1,153,316.40 and 413,796.70 is: 620,153.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,548.70 : 1,153,316.40 = 413,796.70 : x
  2. Step 2: Convert to fraction form
    769,548.70/1,153,316.40 = 413,796.70/x
  3. Step 3: Cross multiply
    769,548.70x = 1,153,316.40 × 413,796.70
  4. Step 4: Simplify right side
    769,548.70x = 477,238,520,375.88
  5. Step 5: Solve for x
    x = 477,238,520,375.88/769,548.70
  6. Step 6: Final answer
    x = 620,153.76

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1.5x scale

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.