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Finding the Fourth Proportional to 702,392.99, 969,302.33 and 380,103.06

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Solution

The fourth proportional to 702,392.99, 969,302.33 and 380,103.06 is: 524,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,392.99 : 969,302.33 = 380,103.06 : x
  2. Step 2: Convert to fraction form
    702,392.99/969,302.33 = 380,103.06/x
  3. Step 3: Cross multiply
    702,392.99x = 969,302.33 × 380,103.06
  4. Step 4: Simplify right side
    702,392.99x = 368,434,781,698.13
  5. Step 5: Solve for x
    x = 368,434,781,698.13/702,392.99
  6. Step 6: Final answer
    x = 524,542.22

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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.