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Finding the Fourth Proportional to 369,323.84, 509,667.24 and 199,558.40

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Solution

The fourth proportional to 369,323.84, 509,667.24 and 199,558.40 is: 275,390.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,323.84 : 509,667.24 = 199,558.40 : x
  2. Step 2: Convert to fraction form
    369,323.84/509,667.24 = 199,558.40/x
  3. Step 3: Cross multiply
    369,323.84x = 509,667.24 × 199,558.40
  4. Step 4: Simplify right side
    369,323.84x = 101,708,378,946.82
  5. Step 5: Solve for x
    x = 101,708,378,946.82/369,323.84
  6. Step 6: Final answer
    x = 275,390.78

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