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Finding the Fourth Proportional to 357,255.36, 536,142.24 and 287,971.20

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Solution

The fourth proportional to 357,255.36, 536,142.24 and 287,971.20 is: 432,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,255.36 : 536,142.24 = 287,971.20 : x
  2. Step 2: Convert to fraction form
    357,255.36/536,142.24 = 287,971.20/x
  3. Step 3: Cross multiply
    357,255.36x = 536,142.24 × 287,971.20
  4. Step 4: Simplify right side
    357,255.36x = 154,393,524,223.49
  5. Step 5: Solve for x
    x = 154,393,524,223.49/357,255.36
  6. Step 6: Final answer
    x = 432,165.73

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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.