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Finding the Fourth Proportional to 301,298.72, 415,778.27 and 165,329.28

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Solution

The fourth proportional to 301,298.72, 415,778.27 and 165,329.28 is: 228,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298.72 : 415,778.27 = 165,329.28 : x
  2. Step 2: Convert to fraction form
    301,298.72/415,778.27 = 165,329.28/x
  3. Step 3: Cross multiply
    301,298.72x = 415,778.27 × 165,329.28
  4. Step 4: Simplify right side
    301,298.72x = 68,740,321,192.10
  5. Step 5: Solve for x
    x = 68,740,321,192.10/301,298.72
  6. Step 6: Final answer
    x = 228,146.75

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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.