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Finding the Fourth Proportional to 301,911.48, 416,198.74 and 210,985.14

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Solution

The fourth proportional to 301,911.48, 416,198.74 and 210,985.14 is: 290,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,911.48 : 416,198.74 = 210,985.14 : x
  2. Step 2: Convert to fraction form
    301,911.48/416,198.74 = 210,985.14/x
  3. Step 3: Cross multiply
    301,911.48x = 416,198.74 × 210,985.14
  4. Step 4: Simplify right side
    301,911.48x = 87,811,749,426.72
  5. Step 5: Solve for x
    x = 87,811,749,426.72/301,911.48
  6. Step 6: Final answer
    x = 290,852.63

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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.