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Finding the Fourth Proportional to 556,928.06, 768,540.16 and 302,273.78

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Solution

The fourth proportional to 556,928.06, 768,540.16 and 302,273.78 is: 417,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,928.06 : 768,540.16 = 302,273.78 : x
  2. Step 2: Convert to fraction form
    556,928.06/768,540.16 = 302,273.78/x
  3. Step 3: Cross multiply
    556,928.06x = 768,540.16 × 302,273.78
  4. Step 4: Simplify right side
    556,928.06x = 232,309,539,245.01
  5. Step 5: Solve for x
    x = 232,309,539,245.01/556,928.06
  6. Step 6: Final answer
    x = 417,126.66

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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.