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Finding the Fourth Proportional to 420,800, 631,309.44 and 125,312

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Solution

The fourth proportional to 420,800, 631,309.44 and 125,312 is: 188,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,800 : 631,309.44 = 125,312 : x
  2. Step 2: Convert to fraction form
    420,800/631,309.44 = 125,312/x
  3. Step 3: Cross multiply
    420,800x = 631,309.44 × 125,312
  4. Step 4: Simplify right side
    420,800x = 79,110,648,545.28
  5. Step 5: Solve for x
    x = 79,110,648,545.28/420,800
  6. Step 6: Final answer
    x = 188,000.59

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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.