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Finding the Fourth Proportional to 289,967.70, 434,946.06 and 119,153.10

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Solution

The fourth proportional to 289,967.70, 434,946.06 and 119,153.10 is: 178,727.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,967.70 : 434,946.06 = 119,153.10 : x
  2. Step 2: Convert to fraction form
    289,967.70/434,946.06 = 119,153.10/x
  3. Step 3: Cross multiply
    289,967.70x = 434,946.06 × 119,153.10
  4. Step 4: Simplify right side
    289,967.70x = 51,825,171,381.79
  5. Step 5: Solve for x
    x = 51,825,171,381.79/289,967.70
  6. Step 6: Final answer
    x = 178,727.39

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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.