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Finding the Fourth Proportional to 289,071.99, 433,358.81 and 111,703.46

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Solution

The fourth proportional to 289,071.99, 433,358.81 and 111,703.46 is: 167,458.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,071.99 : 433,358.81 = 111,703.46 : x
  2. Step 2: Convert to fraction form
    289,071.99/433,358.81 = 111,703.46/x
  3. Step 3: Cross multiply
    289,071.99x = 433,358.81 × 111,703.46
  4. Step 4: Simplify right side
    289,071.99x = 48,407,676,192.06
  5. Step 5: Solve for x
    x = 48,407,676,192.06/289,071.99
  6. Step 6: Final answer
    x = 167,458.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.