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Finding the Fourth Proportional to 620,129.40, 930,194.10 and 431,172.60

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Solution

The fourth proportional to 620,129.40, 930,194.10 and 431,172.60 is: 646,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,129.40 : 930,194.10 = 431,172.60 : x
  2. Step 2: Convert to fraction form
    620,129.40/930,194.10 = 431,172.60/x
  3. Step 3: Cross multiply
    620,129.40x = 930,194.10 × 431,172.60
  4. Step 4: Simplify right side
    620,129.40x = 401,074,208,601.66
  5. Step 5: Solve for x
    x = 401,074,208,601.66/620,129.40
  6. Step 6: Final answer
    x = 646,758.90

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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.