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Finding the Fourth Proportional to 420,116.16, 630,171 and 104,570.96

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Solution

The fourth proportional to 420,116.16, 630,171 and 104,570.96 is: 156,855.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,116.16 : 630,171 = 104,570.96 : x
  2. Step 2: Convert to fraction form
    420,116.16/630,171 = 104,570.96/x
  3. Step 3: Cross multiply
    420,116.16x = 630,171 × 104,570.96
  4. Step 4: Simplify right side
    420,116.16x = 65,897,586,434.16
  5. Step 5: Solve for x
    x = 65,897,586,434.16/420,116.16
  6. Step 6: Final answer
    x = 156,855.63

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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.