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Finding the Fourth Proportional to 289,054.40, 433,516.80 and 189,910.40

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Solution

The fourth proportional to 289,054.40, 433,516.80 and 189,910.40 is: 284,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,054.40 : 433,516.80 = 189,910.40 : x
  2. Step 2: Convert to fraction form
    289,054.40/433,516.80 = 189,910.40/x
  3. Step 3: Cross multiply
    289,054.40x = 433,516.80 × 189,910.40
  4. Step 4: Simplify right side
    289,054.40x = 82,329,348,894.72
  5. Step 5: Solve for x
    x = 82,329,348,894.72/289,054.40
  6. Step 6: Final answer
    x = 284,823.03

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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.