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Finding the Fourth Proportional to 289,883.94, 434,855.68 and 100,344.01

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Solution

The fourth proportional to 289,883.94, 434,855.68 and 100,344.01 is: 150,526.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,883.94 : 434,855.68 = 100,344.01 : x
  2. Step 2: Convert to fraction form
    289,883.94/434,855.68 = 100,344.01/x
  3. Step 3: Cross multiply
    289,883.94x = 434,855.68 × 100,344.01
  4. Step 4: Simplify right side
    289,883.94x = 43,635,162,702.48
  5. Step 5: Solve for x
    x = 43,635,162,702.48/289,883.94
  6. Step 6: Final answer
    x = 150,526.32

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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.