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Finding the Fourth Proportional to 411,619.14, 616,978.30 and 211,951.51

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Solution

The fourth proportional to 411,619.14, 616,978.30 and 211,951.51 is: 317,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,619.14 : 616,978.30 = 211,951.51 : x
  2. Step 2: Convert to fraction form
    411,619.14/616,978.30 = 211,951.51/x
  3. Step 3: Cross multiply
    411,619.14x = 616,978.30 × 211,951.51
  4. Step 4: Simplify right side
    411,619.14x = 130,769,482,322.23
  5. Step 5: Solve for x
    x = 130,769,482,322.23/411,619.14
  6. Step 6: Final answer
    x = 317,695.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.