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Finding the Fourth Proportional to 301,398.80, 415,927.71 and 165,438.45

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Solution

The fourth proportional to 301,398.80, 415,927.71 and 165,438.45 is: 228,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,398.80 : 415,927.71 = 165,438.45 : x
  2. Step 2: Convert to fraction form
    301,398.80/415,927.71 = 165,438.45/x
  3. Step 3: Cross multiply
    301,398.80x = 415,927.71 × 165,438.45
  4. Step 4: Simplify right side
    301,398.80x = 68,810,435,654.45
  5. Step 5: Solve for x
    x = 68,810,435,654.45/301,398.80
  6. Step 6: Final answer
    x = 228,303.62

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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.