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Finding the Fourth Proportional to 527,989.38, 728,630.55 and 286,271.34

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Solution

The fourth proportional to 527,989.38, 728,630.55 and 286,271.34 is: 395,057.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,989.38 : 728,630.55 = 286,271.34 : x
  2. Step 2: Convert to fraction form
    527,989.38/728,630.55 = 286,271.34/x
  3. Step 3: Cross multiply
    527,989.38x = 728,630.55 × 286,271.34
  4. Step 4: Simplify right side
    527,989.38x = 208,586,043,913.44
  5. Step 5: Solve for x
    x = 208,586,043,913.44/527,989.38
  6. Step 6: Final answer
    x = 395,057.27

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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.