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Finding the Fourth Proportional to 527,209.52, 727,559.16 and 288,745.52

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Solution

The fourth proportional to 527,209.52, 727,559.16 and 288,745.52 is: 398,474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,209.52 : 727,559.16 = 288,745.52 : x
  2. Step 2: Convert to fraction form
    527,209.52/727,559.16 = 288,745.52/x
  3. Step 3: Cross multiply
    527,209.52x = 727,559.16 × 288,745.52
  4. Step 4: Simplify right side
    527,209.52x = 210,079,447,984.96
  5. Step 5: Solve for x
    x = 210,079,447,984.96/527,209.52
  6. Step 6: Final answer
    x = 398,474.31

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1.5x scale

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.