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Finding the Fourth Proportional to 369,454.50, 509,847.08 and 199,688.63

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Solution

The fourth proportional to 369,454.50, 509,847.08 and 199,688.63 is: 275,570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,454.50 : 509,847.08 = 199,688.63 : x
  2. Step 2: Convert to fraction form
    369,454.50/509,847.08 = 199,688.63/x
  3. Step 3: Cross multiply
    369,454.50x = 509,847.08 × 199,688.63
  4. Step 4: Simplify right side
    369,454.50x = 101,810,661,367.02
  5. Step 5: Solve for x
    x = 101,810,661,367.02/369,454.50
  6. Step 6: Final answer
    x = 275,570.23

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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.