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Finding the Fourth Proportional to 610,704.90, 842,777.82 and 338,790.60

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Solution

The fourth proportional to 610,704.90, 842,777.82 and 338,790.60 is: 467,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,704.90 : 842,777.82 = 338,790.60 : x
  2. Step 2: Convert to fraction form
    610,704.90/842,777.82 = 338,790.60/x
  3. Step 3: Cross multiply
    610,704.90x = 842,777.82 × 338,790.60
  4. Step 4: Simplify right side
    610,704.90x = 285,525,203,304.49
  5. Step 5: Solve for x
    x = 285,525,203,304.49/610,704.90
  6. Step 6: Final answer
    x = 467,533.83

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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.