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Finding the Fourth Proportional to 527,493, 727,940.34 and 289,023.88

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Solution

The fourth proportional to 527,493, 727,940.34 and 289,023.88 is: 398,852.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,493 : 727,940.34 = 289,023.88 : x
  2. Step 2: Convert to fraction form
    527,493/727,940.34 = 289,023.88/x
  3. Step 3: Cross multiply
    527,493x = 727,940.34 × 289,023.88
  4. Step 4: Simplify right side
    527,493x = 210,392,141,475.32
  5. Step 5: Solve for x
    x = 210,392,141,475.32/527,493
  6. Step 6: Final answer
    x = 398,852.95

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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.