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Finding the Fourth Proportional to 556,861.24, 768,471.06 and 302,212.72

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Solution

The fourth proportional to 556,861.24, 768,471.06 and 302,212.72 is: 417,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,861.24 : 768,471.06 = 302,212.72 : x
  2. Step 2: Convert to fraction form
    556,861.24/768,471.06 = 302,212.72/x
  3. Step 3: Cross multiply
    556,861.24x = 768,471.06 × 302,212.72
  4. Step 4: Simplify right side
    556,861.24x = 232,241,729,283.88
  5. Step 5: Solve for x
    x = 232,241,729,283.88/556,861.24
  6. Step 6: Final answer
    x = 417,054.94

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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.