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Finding the Fourth Proportional to 472,430.56, 651,791.44 and 329,138.32

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Solution

The fourth proportional to 472,430.56, 651,791.44 and 329,138.32 is: 454,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,430.56 : 651,791.44 = 329,138.32 : x
  2. Step 2: Convert to fraction form
    472,430.56/651,791.44 = 329,138.32/x
  3. Step 3: Cross multiply
    472,430.56x = 651,791.44 × 329,138.32
  4. Step 4: Simplify right side
    472,430.56x = 214,529,539,551.98
  5. Step 5: Solve for x
    x = 214,529,539,551.98/472,430.56
  6. Step 6: Final answer
    x = 454,097.51

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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.