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Finding the Fourth Proportional to 497,396.70, 746,242.47 and 231,315.30

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Solution

The fourth proportional to 497,396.70, 746,242.47 and 231,315.30 is: 347,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,396.70 : 746,242.47 = 231,315.30 : x
  2. Step 2: Convert to fraction form
    497,396.70/746,242.47 = 231,315.30/x
  3. Step 3: Cross multiply
    497,396.70x = 746,242.47 × 231,315.30
  4. Step 4: Simplify right side
    497,396.70x = 172,617,300,820.79
  5. Step 5: Solve for x
    x = 172,617,300,820.79/497,396.70
  6. Step 6: Final answer
    x = 347,041.51

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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.