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Finding the Fourth Proportional to 527,969.75, 728,612.60 and 298,561.34

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Solution

The fourth proportional to 527,969.75, 728,612.60 and 298,561.34 is: 412,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,969.75 : 728,612.60 = 298,561.34 : x
  2. Step 2: Convert to fraction form
    527,969.75/728,612.60 = 298,561.34/x
  3. Step 3: Cross multiply
    527,969.75x = 728,612.60 × 298,561.34
  4. Step 4: Simplify right side
    527,969.75x = 217,535,554,525.61
  5. Step 5: Solve for x
    x = 217,535,554,525.61/527,969.75
  6. Step 6: Final answer
    x = 412,022.77

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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.