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Finding the Fourth Proportional to 702,749.16, 969,782.28 and 380,456.28

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Solution

The fourth proportional to 702,749.16, 969,782.28 and 380,456.28 is: 525,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,749.16 : 969,782.28 = 380,456.28 : x
  2. Step 2: Convert to fraction form
    702,749.16/969,782.28 = 380,456.28/x
  3. Step 3: Cross multiply
    702,749.16x = 969,782.28 × 380,456.28
  4. Step 4: Simplify right side
    702,749.16x = 368,959,758,658.72
  5. Step 5: Solve for x
    x = 368,959,758,658.72/702,749.16
  6. Step 6: Final answer
    x = 525,023.41

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1.5x scale

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.