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Finding the Fourth Proportional to 288,275.68, 397,816.72 and 160,953.44

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Solution

The fourth proportional to 288,275.68, 397,816.72 and 160,953.44 is: 222,113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,275.68 : 397,816.72 = 160,953.44 : x
  2. Step 2: Convert to fraction form
    288,275.68/397,816.72 = 160,953.44/x
  3. Step 3: Cross multiply
    288,275.68x = 397,816.72 × 160,953.44
  4. Step 4: Simplify right side
    288,275.68x = 64,029,969,573.52
  5. Step 5: Solve for x
    x = 64,029,969,573.52/288,275.68
  6. Step 6: Final answer
    x = 222,113.67

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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.