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Finding the Fourth Proportional to 702,842.28, 969,922.80 and 380,552.60

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Solution

The fourth proportional to 702,842.28, 969,922.80 and 380,552.60 is: 525,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,842.28 : 969,922.80 = 380,552.60 : x
  2. Step 2: Convert to fraction form
    702,842.28/969,922.80 = 380,552.60/x
  3. Step 3: Cross multiply
    702,842.28x = 969,922.80 × 380,552.60
  4. Step 4: Simplify right side
    702,842.28x = 369,106,643,339.28
  5. Step 5: Solve for x
    x = 369,106,643,339.28/702,842.28
  6. Step 6: Final answer
    x = 525,162.83

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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.