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Finding the Fourth Proportional to 420,673.80, 630,069.64 and 195,697.11

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Solution

The fourth proportional to 420,673.80, 630,069.64 and 195,697.11 is: 293,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,673.80 : 630,069.64 = 195,697.11 : x
  2. Step 2: Convert to fraction form
    420,673.80/630,069.64 = 195,697.11/x
  3. Step 3: Cross multiply
    420,673.80x = 630,069.64 × 195,697.11
  4. Step 4: Simplify right side
    420,673.80x = 123,302,809,520.26
  5. Step 5: Solve for x
    x = 123,302,809,520.26/420,673.80
  6. Step 6: Final answer
    x = 293,107.89

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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.