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Finding the Fourth Proportional to 420,118.16, 630,174 and 104,572.96

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Solution

The fourth proportional to 420,118.16, 630,174 and 104,572.96 is: 156,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,118.16 : 630,174 = 104,572.96 : x
  2. Step 2: Convert to fraction form
    420,118.16/630,174 = 104,572.96/x
  3. Step 3: Cross multiply
    420,118.16x = 630,174 × 104,572.96
  4. Step 4: Simplify right side
    420,118.16x = 65,899,160,495.04
  5. Step 5: Solve for x
    x = 65,899,160,495.04/420,118.16
  6. Step 6: Final answer
    x = 156,858.63

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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.