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Finding the Fourth Proportional to 300,777.42, 415,054.95 and 164,784.30

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Solution

The fourth proportional to 300,777.42, 415,054.95 and 164,784.30 is: 227,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,777.42 : 415,054.95 = 164,784.30 : x
  2. Step 2: Convert to fraction form
    300,777.42/415,054.95 = 164,784.30/x
  3. Step 3: Cross multiply
    300,777.42x = 415,054.95 × 164,784.30
  4. Step 4: Simplify right side
    300,777.42x = 68,394,539,397.29
  5. Step 5: Solve for x
    x = 68,394,539,397.29/300,777.42
  6. Step 6: Final answer
    x = 227,392.53

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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.