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Finding the Fourth Proportional to 289,053.53, 398,883.68 and 159,992.25

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Solution

The fourth proportional to 289,053.53, 398,883.68 and 159,992.25 is: 220,783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,053.53 : 398,883.68 = 159,992.25 : x
  2. Step 2: Convert to fraction form
    289,053.53/398,883.68 = 159,992.25/x
  3. Step 3: Cross multiply
    289,053.53x = 398,883.68 × 159,992.25
  4. Step 4: Simplify right side
    289,053.53x = 63,818,298,225.93
  5. Step 5: Solve for x
    x = 63,818,298,225.93/289,053.53
  6. Step 6: Final answer
    x = 220,783.67

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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.