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Finding the Fourth Proportional to 349,625.20, 524,437.80 and 209,311.60

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Solution

The fourth proportional to 349,625.20, 524,437.80 and 209,311.60 is: 313,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,625.20 : 524,437.80 = 209,311.60 : x
  2. Step 2: Convert to fraction form
    349,625.20/524,437.80 = 209,311.60/x
  3. Step 3: Cross multiply
    349,625.20x = 524,437.80 × 209,311.60
  4. Step 4: Simplify right side
    349,625.20x = 109,770,915,018.48
  5. Step 5: Solve for x
    x = 109,770,915,018.48/349,625.20
  6. Step 6: Final answer
    x = 313,967.40

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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.