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Finding the Fourth Proportional to 702,871.83, 969,963.54 and 380,582.07

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Solution

The fourth proportional to 702,871.83, 969,963.54 and 380,582.07 is: 525,203.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,871.83 : 969,963.54 = 380,582.07 : x
  2. Step 2: Convert to fraction form
    702,871.83/969,963.54 = 380,582.07/x
  3. Step 3: Cross multiply
    702,871.83x = 969,963.54 × 380,582.07
  4. Step 4: Simplify right side
    702,871.83x = 369,150,729,974.82
  5. Step 5: Solve for x
    x = 369,150,729,974.82/702,871.83
  6. Step 6: Final answer
    x = 525,203.48

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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.