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Finding the Fourth Proportional to 420,621.20, 630,701.40 and 171,021.20

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Solution

The fourth proportional to 420,621.20, 630,701.40 and 171,021.20 is: 256,438.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,621.20 : 630,701.40 = 171,021.20 : x
  2. Step 2: Convert to fraction form
    420,621.20/630,701.40 = 171,021.20/x
  3. Step 3: Cross multiply
    420,621.20x = 630,701.40 × 171,021.20
  4. Step 4: Simplify right side
    420,621.20x = 107,863,310,269.68
  5. Step 5: Solve for x
    x = 107,863,310,269.68/420,621.20
  6. Step 6: Final answer
    x = 256,438.12

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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.