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Finding the Fourth Proportional to 420,078.96, 630,118.59 and 104,535.87

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Solution

The fourth proportional to 420,078.96, 630,118.59 and 104,535.87 is: 156,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,078.96 : 630,118.59 = 104,535.87 : x
  2. Step 2: Convert to fraction form
    420,078.96/630,118.59 = 104,535.87/x
  3. Step 3: Cross multiply
    420,078.96x = 630,118.59 × 104,535.87
  4. Step 4: Simplify right side
    420,078.96x = 65,869,992,841.88
  5. Step 5: Solve for x
    x = 65,869,992,841.88/420,078.96
  6. Step 6: Final answer
    x = 156,803.84

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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.