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Finding the Fourth Proportional to 420,344, 630,516 and 124,856

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Solution

The fourth proportional to 420,344, 630,516 and 124,856 is: 187,284

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,344 : 630,516 = 124,856 : x
  2. Step 2: Convert to fraction form
    420,344/630,516 = 124,856/x
  3. Step 3: Cross multiply
    420,344x = 630,516 × 124,856
  4. Step 4: Simplify right side
    420,344x = 78,723,705,696
  5. Step 5: Solve for x
    x = 78,723,705,696/420,344
  6. Step 6: Final answer
    x = 187,284

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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.