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Finding the Fourth Proportional to 644,697.59, 889,704 and 354,319.45

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Solution

The fourth proportional to 644,697.59, 889,704 and 354,319.45 is: 488,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,697.59 : 889,704 = 354,319.45 : x
  2. Step 2: Convert to fraction form
    644,697.59/889,704 = 354,319.45/x
  3. Step 3: Cross multiply
    644,697.59x = 889,704 × 354,319.45
  4. Step 4: Simplify right side
    644,697.59x = 315,239,431,942.80
  5. Step 5: Solve for x
    x = 315,239,431,942.80/644,697.59
  6. Step 6: Final answer
    x = 488,972.56

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1.5x scale

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.