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Finding the Fourth Proportional to 927,441, 1,390,756.38 and 328,203

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Solution

The fourth proportional to 927,441, 1,390,756.38 and 328,203 is: 492,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,441 : 1,390,756.38 = 328,203 : x
  2. Step 2: Convert to fraction form
    927,441/1,390,756.38 = 328,203/x
  3. Step 3: Cross multiply
    927,441x = 1,390,756.38 × 328,203
  4. Step 4: Simplify right side
    927,441x = 456,450,416,185.14
  5. Step 5: Solve for x
    x = 456,450,416,185.14/927,441
  6. Step 6: Final answer
    x = 492,161.14

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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.