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Finding the Fourth Proportional to 301,400.80, 415,930.47 and 165,440.45

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Solution

The fourth proportional to 301,400.80, 415,930.47 and 165,440.45 is: 228,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,400.80 : 415,930.47 = 165,440.45 : x
  2. Step 2: Convert to fraction form
    301,400.80/415,930.47 = 165,440.45/x
  3. Step 3: Cross multiply
    301,400.80x = 415,930.47 × 165,440.45
  4. Step 4: Simplify right side
    301,400.80x = 68,811,724,125.51
  5. Step 5: Solve for x
    x = 68,811,724,125.51/301,400.80
  6. Step 6: Final answer
    x = 228,306.38

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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.