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Finding the Fourth Proportional to 301,412.77, 415,926.77 and 165,425.11

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Solution

The fourth proportional to 301,412.77, 415,926.77 and 165,425.11 is: 228,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,412.77 : 415,926.77 = 165,425.11 : x
  2. Step 2: Convert to fraction form
    301,412.77/415,926.77 = 165,425.11/x
  3. Step 3: Cross multiply
    301,412.77x = 415,926.77 × 165,425.11
  4. Step 4: Simplify right side
    301,412.77x = 68,804,729,812.25
  5. Step 5: Solve for x
    x = 68,804,729,812.25/301,412.77
  6. Step 6: Final answer
    x = 228,274.11

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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.