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Finding the Fourth Proportional to 301,906.98, 416,192.54 and 210,980.63

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Solution

The fourth proportional to 301,906.98, 416,192.54 and 210,980.63 is: 290,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,906.98 : 416,192.54 = 210,980.63 : x
  2. Step 2: Convert to fraction form
    301,906.98/416,192.54 = 210,980.63/x
  3. Step 3: Cross multiply
    301,906.98x = 416,192.54 × 210,980.63
  4. Step 4: Simplify right side
    301,906.98x = 87,808,564,276.08
  5. Step 5: Solve for x
    x = 87,808,564,276.08/301,906.98
  6. Step 6: Final answer
    x = 290,846.42

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1.5x scale

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.