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Finding the Fourth Proportional to 369,220.50, 509,524.29 and 199,454.64

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Solution

The fourth proportional to 369,220.50, 509,524.29 and 199,454.64 is: 275,247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,220.50 : 509,524.29 = 199,454.64 : x
  2. Step 2: Convert to fraction form
    369,220.50/509,524.29 = 199,454.64/x
  3. Step 3: Cross multiply
    369,220.50x = 509,524.29 × 199,454.64
  4. Step 4: Simplify right side
    369,220.50x = 101,626,983,833.21
  5. Step 5: Solve for x
    x = 101,626,983,833.21/369,220.50
  6. Step 6: Final answer
    x = 275,247.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.