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Finding the Fourth Proportional to 385,194.06, 531,738.08 and 230,200.07

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Solution

The fourth proportional to 385,194.06, 531,738.08 and 230,200.07 is: 317,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,194.06 : 531,738.08 = 230,200.07 : x
  2. Step 2: Convert to fraction form
    385,194.06/531,738.08 = 230,200.07/x
  3. Step 3: Cross multiply
    385,194.06x = 531,738.08 × 230,200.07
  4. Step 4: Simplify right side
    385,194.06x = 122,406,139,427.98
  5. Step 5: Solve for x
    x = 122,406,139,427.98/385,194.06
  6. Step 6: Final answer
    x = 317,777.85

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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.