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Finding the Fourth Proportional to 420,010.57, 630,014.63 and 104,467.47

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Solution

The fourth proportional to 420,010.57, 630,014.63 and 104,467.47 is: 156,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,010.57 : 630,014.63 = 104,467.47 : x
  2. Step 2: Convert to fraction form
    420,010.57/630,014.63 = 104,467.47/x
  3. Step 3: Cross multiply
    420,010.57x = 630,014.63 × 104,467.47
  4. Step 4: Simplify right side
    420,010.57x = 65,816,035,118.03
  5. Step 5: Solve for x
    x = 65,816,035,118.03/420,010.57
  6. Step 6: Final answer
    x = 156,700.90

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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.