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Finding the Fourth Proportional to 420,096.70, 630,058.02 and 120,510.64

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Solution

The fourth proportional to 420,096.70, 630,058.02 and 120,510.64 is: 180,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,096.70 : 630,058.02 = 120,510.64 : x
  2. Step 2: Convert to fraction form
    420,096.70/630,058.02 = 120,510.64/x
  3. Step 3: Cross multiply
    420,096.70x = 630,058.02 × 120,510.64
  4. Step 4: Simplify right side
    420,096.70x = 75,928,695,227.33
  5. Step 5: Solve for x
    x = 75,928,695,227.33/420,096.70
  6. Step 6: Final answer
    x = 180,740.99

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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.