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Finding the Fourth Proportional to 420,626, 630,943.32 and 125,138

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Solution

The fourth proportional to 420,626, 630,943.32 and 125,138 is: 187,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,626 : 630,943.32 = 125,138 : x
  2. Step 2: Convert to fraction form
    420,626/630,943.32 = 125,138/x
  3. Step 3: Cross multiply
    420,626x = 630,943.32 × 125,138
  4. Step 4: Simplify right side
    420,626x = 78,954,985,178.16
  5. Step 5: Solve for x
    x = 78,954,985,178.16/420,626
  6. Step 6: Final answer
    x = 187,708.29

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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.