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Finding the Fourth Proportional to 397,136.51, 596,171.31 and 247,720.67

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Solution

The fourth proportional to 397,136.51, 596,171.31 and 247,720.67 is: 371,872.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,136.51 : 596,171.31 = 247,720.67 : x
  2. Step 2: Convert to fraction form
    397,136.51/596,171.31 = 247,720.67/x
  3. Step 3: Cross multiply
    397,136.51x = 596,171.31 × 247,720.67
  4. Step 4: Simplify right side
    397,136.51x = 147,683,953,367.12
  5. Step 5: Solve for x
    x = 147,683,953,367.12/397,136.51
  6. Step 6: Final answer
    x = 371,872.02

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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.