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Finding the Fourth Proportional to 527,968.36, 728,610.70 and 298,559.98

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Solution

The fourth proportional to 527,968.36, 728,610.70 and 298,559.98 is: 412,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,968.36 : 728,610.70 = 298,559.98 : x
  2. Step 2: Convert to fraction form
    527,968.36/728,610.70 = 298,559.98/x
  3. Step 3: Cross multiply
    527,968.36x = 728,610.70 × 298,559.98
  4. Step 4: Simplify right side
    527,968.36x = 217,533,996,019.79
  5. Step 5: Solve for x
    x = 217,533,996,019.79/527,968.36
  6. Step 6: Final answer
    x = 412,020.89

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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.