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Finding the Fourth Proportional to 352,428, 486,129.36 and 209,086.56

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Solution

The fourth proportional to 352,428, 486,129.36 and 209,086.56 is: 288,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,428 : 486,129.36 = 209,086.56 : x
  2. Step 2: Convert to fraction form
    352,428/486,129.36 = 209,086.56/x
  3. Step 3: Cross multiply
    352,428x = 486,129.36 × 209,086.56
  4. Step 4: Simplify right side
    352,428x = 101,643,115,597.40
  5. Step 5: Solve for x
    x = 101,643,115,597.40/352,428
  6. Step 6: Final answer
    x = 288,408.17

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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.