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Finding the Fourth Proportional to 289,406.52, 434,172.15 and 89,722.89

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Solution

The fourth proportional to 289,406.52, 434,172.15 and 89,722.89 is: 134,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,406.52 : 434,172.15 = 89,722.89 : x
  2. Step 2: Convert to fraction form
    289,406.52/434,172.15 = 89,722.89/x
  3. Step 3: Cross multiply
    289,406.52x = 434,172.15 × 89,722.89
  4. Step 4: Simplify right side
    289,406.52x = 38,955,180,055.51
  5. Step 5: Solve for x
    x = 38,955,180,055.51/289,406.52
  6. Step 6: Final answer
    x = 134,603.67

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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.