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Finding the Fourth Proportional to 420,310.69, 630,419.32 and 150,427.94

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Solution

The fourth proportional to 420,310.69, 630,419.32 and 150,427.94 is: 225,625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,310.69 : 630,419.32 = 150,427.94 : x
  2. Step 2: Convert to fraction form
    420,310.69/630,419.32 = 150,427.94/x
  3. Step 3: Cross multiply
    420,310.69x = 630,419.32 × 150,427.94
  4. Step 4: Simplify right side
    420,310.69x = 94,832,676,679.74
  5. Step 5: Solve for x
    x = 94,832,676,679.74/420,310.69
  6. Step 6: Final answer
    x = 225,625.18

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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.