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Finding the Fourth Proportional to 702,972.64, 970,097.41 and 380,675.36

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Solution

The fourth proportional to 702,972.64, 970,097.41 and 380,675.36 is: 525,329.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972.64 : 970,097.41 = 380,675.36 : x
  2. Step 2: Convert to fraction form
    702,972.64/970,097.41 = 380,675.36/x
  3. Step 3: Cross multiply
    702,972.64x = 970,097.41 × 380,675.36
  4. Step 4: Simplify right side
    702,972.64x = 369,292,180,786.82
  5. Step 5: Solve for x
    x = 369,292,180,786.82/702,972.64
  6. Step 6: Final answer
    x = 525,329.38

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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.