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Finding the Fourth Proportional to 702,388.24, 969,295.76 and 380,098.34

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Solution

The fourth proportional to 702,388.24, 969,295.76 and 380,098.34 is: 524,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,388.24 : 969,295.76 = 380,098.34 : x
  2. Step 2: Convert to fraction form
    702,388.24/969,295.76 = 380,098.34/x
  3. Step 3: Cross multiply
    702,388.24x = 969,295.76 × 380,098.34
  4. Step 4: Simplify right side
    702,388.24x = 368,427,709,345.04
  5. Step 5: Solve for x
    x = 368,427,709,345.04/702,388.24
  6. Step 6: Final answer
    x = 524,535.70

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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.