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Finding the Fourth Proportional to 527,957.25, 728,576.58 and 298,559.58

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Solution

The fourth proportional to 527,957.25, 728,576.58 and 298,559.58 is: 412,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,957.25 : 728,576.58 = 298,559.58 : x
  2. Step 2: Convert to fraction form
    527,957.25/728,576.58 = 298,559.58/x
  3. Step 3: Cross multiply
    527,957.25x = 728,576.58 × 298,559.58
  4. Step 4: Simplify right side
    527,957.25x = 217,523,517,722.64
  5. Step 5: Solve for x
    x = 217,523,517,722.64/527,957.25
  6. Step 6: Final answer
    x = 412,009.72

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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.