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Finding the Fourth Proportional to 702,424.82, 969,347.97 and 380,137.26

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Solution

The fourth proportional to 702,424.82, 969,347.97 and 380,137.26 is: 524,590.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,424.82 : 969,347.97 = 380,137.26 : x
  2. Step 2: Convert to fraction form
    702,424.82/969,347.97 = 380,137.26/x
  3. Step 3: Cross multiply
    702,424.82x = 969,347.97 × 380,137.26
  4. Step 4: Simplify right side
    702,424.82x = 368,485,281,302.36
  5. Step 5: Solve for x
    x = 368,485,281,302.36/702,424.82
  6. Step 6: Final answer
    x = 524,590.35

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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.