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Finding the Fourth Proportional to 397,466.40, 595,324.80 and 353,143.20

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Solution

The fourth proportional to 397,466.40, 595,324.80 and 353,143.20 is: 528,937.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,466.40 : 595,324.80 = 353,143.20 : x
  2. Step 2: Convert to fraction form
    397,466.40/595,324.80 = 353,143.20/x
  3. Step 3: Cross multiply
    397,466.40x = 595,324.80 × 353,143.20
  4. Step 4: Simplify right side
    397,466.40x = 210,234,904,911.36
  5. Step 5: Solve for x
    x = 210,234,904,911.36/397,466.40
  6. Step 6: Final answer
    x = 528,937.55

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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.