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Finding the Fourth Proportional to 702,696.51, 969,724.31 and 380,406.60

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Solution

The fourth proportional to 702,696.51, 969,724.31 and 380,406.60 is: 524,962.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,696.51 : 969,724.31 = 380,406.60 : x
  2. Step 2: Convert to fraction form
    702,696.51/969,724.31 = 380,406.60/x
  3. Step 3: Cross multiply
    702,696.51x = 969,724.31 × 380,406.60
  4. Step 4: Simplify right side
    702,696.51x = 368,889,525,802.41
  5. Step 5: Solve for x
    x = 368,889,525,802.41/702,696.51
  6. Step 6: Final answer
    x = 524,962.80

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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.