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Finding the Fourth Proportional to 420,021.92, 630,035.15 and 104,478.86

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Solution

The fourth proportional to 420,021.92, 630,035.15 and 104,478.86 is: 156,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,021.92 : 630,035.15 = 104,478.86 : x
  2. Step 2: Convert to fraction form
    420,021.92/630,035.15 = 104,478.86/x
  3. Step 3: Cross multiply
    420,021.92x = 630,035.15 × 104,478.86
  4. Step 4: Simplify right side
    420,021.92x = 65,825,355,284.62
  5. Step 5: Solve for x
    x = 65,825,355,284.62/420,021.92
  6. Step 6: Final answer
    x = 156,718.86

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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.