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Finding the Fourth Proportional to 527,968.06, 728,610.26 and 298,559.67

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Solution

The fourth proportional to 527,968.06, 728,610.26 and 298,559.67 is: 412,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,968.06 : 728,610.26 = 298,559.67 : x
  2. Step 2: Convert to fraction form
    527,968.06/728,610.26 = 298,559.67/x
  3. Step 3: Cross multiply
    527,968.06x = 728,610.26 × 298,559.67
  4. Step 4: Simplify right side
    527,968.06x = 217,533,638,657.56
  5. Step 5: Solve for x
    x = 217,533,638,657.56/527,968.06
  6. Step 6: Final answer
    x = 412,020.45

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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.