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Finding the Fourth Proportional to 289,784.80, 434,806.80 and 102,930.40

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Solution

The fourth proportional to 289,784.80, 434,806.80 and 102,930.40 is: 154,441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,784.80 : 434,806.80 = 102,930.40 : x
  2. Step 2: Convert to fraction form
    289,784.80/434,806.80 = 102,930.40/x
  3. Step 3: Cross multiply
    289,784.80x = 434,806.80 × 102,930.40
  4. Step 4: Simplify right side
    289,784.80x = 44,754,837,846.72
  5. Step 5: Solve for x
    x = 44,754,837,846.72/289,784.80
  6. Step 6: Final answer
    x = 154,441.63

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1.5x scale

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.