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Finding the Fourth Proportional to 369,289.84, 509,620.32 and 199,524.28

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Solution

The fourth proportional to 369,289.84, 509,620.32 and 199,524.28 is: 275,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,289.84 : 509,620.32 = 199,524.28 : x
  2. Step 2: Convert to fraction form
    369,289.84/509,620.32 = 199,524.28/x
  3. Step 3: Cross multiply
    369,289.84x = 509,620.32 × 199,524.28
  4. Step 4: Simplify right side
    369,289.84x = 101,681,627,421.37
  5. Step 5: Solve for x
    x = 101,681,627,421.37/369,289.84
  6. Step 6: Final answer
    x = 275,343.69

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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.