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Finding the Fourth Proportional to 289,741.96, 434,522.94 and 139,889.08

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Solution

The fourth proportional to 289,741.96, 434,522.94 and 139,889.08 is: 209,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,741.96 : 434,522.94 = 139,889.08 : x
  2. Step 2: Convert to fraction form
    289,741.96/434,522.94 = 139,889.08/x
  3. Step 3: Cross multiply
    289,741.96x = 434,522.94 × 139,889.08
  4. Step 4: Simplify right side
    289,741.96x = 60,785,014,315.50
  5. Step 5: Solve for x
    x = 60,785,014,315.50/289,741.96
  6. Step 6: Final answer
    x = 209,790.17

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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.