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Finding the Fourth Proportional to 314,585.36, 434,112.84 and 171,344.72

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Solution

The fourth proportional to 314,585.36, 434,112.84 and 171,344.72 is: 236,447.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,585.36 : 434,112.84 = 171,344.72 : x
  2. Step 2: Convert to fraction form
    314,585.36/434,112.84 = 171,344.72/x
  3. Step 3: Cross multiply
    314,585.36x = 434,112.84 × 171,344.72
  4. Step 4: Simplify right side
    314,585.36x = 74,382,943,018.20
  5. Step 5: Solve for x
    x = 74,382,943,018.20/314,585.36
  6. Step 6: Final answer
    x = 236,447.57

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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.