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Finding the Fourth Proportional to 301,058.37, 415,150.39 and 210,381.10

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Solution

The fourth proportional to 301,058.37, 415,150.39 and 210,381.10 is: 290,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,058.37 : 415,150.39 = 210,381.10 : x
  2. Step 2: Convert to fraction form
    301,058.37/415,150.39 = 210,381.10/x
  3. Step 3: Cross multiply
    301,058.37x = 415,150.39 × 210,381.10
  4. Step 4: Simplify right side
    301,058.37x = 87,339,795,713.63
  5. Step 5: Solve for x
    x = 87,339,795,713.63/301,058.37
  6. Step 6: Final answer
    x = 290,109.18

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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.