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Finding the Fourth Proportional to 289,856.90, 434,341.94 and 154,940.15

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Solution

The fourth proportional to 289,856.90, 434,341.94 and 154,940.15 is: 232,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,856.90 : 434,341.94 = 154,940.15 : x
  2. Step 2: Convert to fraction form
    289,856.90/434,341.94 = 154,940.15/x
  3. Step 3: Cross multiply
    289,856.90x = 434,341.94 × 154,940.15
  4. Step 4: Simplify right side
    289,856.90x = 67,297,006,808.10
  5. Step 5: Solve for x
    x = 67,297,006,808.10/289,856.90
  6. Step 6: Final answer
    x = 232,173.21

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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.