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Finding the Fourth Proportional to 702,838.22, 969,912.63 and 380,541.65

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Solution

The fourth proportional to 702,838.22, 969,912.63 and 380,541.65 is: 525,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,838.22 : 969,912.63 = 380,541.65 : x
  2. Step 2: Convert to fraction form
    702,838.22/969,912.63 = 380,541.65/x
  3. Step 3: Cross multiply
    702,838.22x = 969,912.63 × 380,541.65
  4. Step 4: Simplify right side
    702,838.22x = 369,092,147,726.48
  5. Step 5: Solve for x
    x = 369,092,147,726.48/702,838.22
  6. Step 6: Final answer
    x = 525,145.25

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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.