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Finding the Fourth Proportional to 288,071.40, 397,499.22 and 160,730.76

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Solution

The fourth proportional to 288,071.40, 397,499.22 and 160,730.76 is: 221,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,071.40 : 397,499.22 = 160,730.76 : x
  2. Step 2: Convert to fraction form
    288,071.40/397,499.22 = 160,730.76/x
  3. Step 3: Cross multiply
    288,071.40x = 397,499.22 × 160,730.76
  4. Step 4: Simplify right side
    288,071.40x = 63,890,351,730.01
  5. Step 5: Solve for x
    x = 63,890,351,730.01/288,071.40
  6. Step 6: Final answer
    x = 221,786.51

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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.