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Finding the Fourth Proportional to 301,022.80, 415,430.10 and 166,886.80

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Solution

The fourth proportional to 301,022.80, 415,430.10 and 166,886.80 is: 230,314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,022.80 : 415,430.10 = 166,886.80 : x
  2. Step 2: Convert to fraction form
    301,022.80/415,430.10 = 166,886.80/x
  3. Step 3: Cross multiply
    301,022.80x = 415,430.10 × 166,886.80
  4. Step 4: Simplify right side
    301,022.80x = 69,329,800,012.68
  5. Step 5: Solve for x
    x = 69,329,800,012.68/301,022.80
  6. Step 6: Final answer
    x = 230,314.12

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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.