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Finding the Fourth Proportional to 413,973.80, 620,840.50 and 161,197.80

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Solution

The fourth proportional to 413,973.80, 620,840.50 and 161,197.80 is: 241,749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,973.80 : 620,840.50 = 161,197.80 : x
  2. Step 2: Convert to fraction form
    413,973.80/620,840.50 = 161,197.80/x
  3. Step 3: Cross multiply
    413,973.80x = 620,840.50 × 161,197.80
  4. Step 4: Simplify right side
    413,973.80x = 100,078,122,750.90
  5. Step 5: Solve for x
    x = 100,078,122,750.90/413,973.80
  6. Step 6: Final answer
    x = 241,749.90

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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.