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Finding the Fourth Proportional to 314,758.62, 434,371.86 and 171,518.58

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Solution

The fourth proportional to 314,758.62, 434,371.86 and 171,518.58 is: 236,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,758.62 : 434,371.86 = 171,518.58 : x
  2. Step 2: Convert to fraction form
    314,758.62/434,371.86 = 171,518.58/x
  3. Step 3: Cross multiply
    314,758.62x = 434,371.86 × 171,518.58
  4. Step 4: Simplify right side
    314,758.62x = 74,502,844,619.16
  5. Step 5: Solve for x
    x = 74,502,844,619.16/314,758.62
  6. Step 6: Final answer
    x = 236,698.35

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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.