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Finding the Fourth Proportional to 301,421.54, 415,962.63 and 165,469.42

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Solution

The fourth proportional to 301,421.54, 415,962.63 and 165,469.42 is: 228,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,421.54 : 415,962.63 = 165,469.42 : x
  2. Step 2: Convert to fraction form
    301,421.54/415,962.63 = 165,469.42/x
  3. Step 3: Cross multiply
    301,421.54x = 415,962.63 × 165,469.42
  4. Step 4: Simplify right side
    301,421.54x = 68,829,095,127.77
  5. Step 5: Solve for x
    x = 68,829,095,127.77/301,421.54
  6. Step 6: Final answer
    x = 228,348.30

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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.