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Finding the Fourth Proportional to 289,780.65, 434,698.65 and 90,047.43

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Solution

The fourth proportional to 289,780.65, 434,698.65 and 90,047.43 is: 135,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.65 : 434,698.65 = 90,047.43 : x
  2. Step 2: Convert to fraction form
    289,780.65/434,698.65 = 90,047.43/x
  3. Step 3: Cross multiply
    289,780.65x = 434,698.65 × 90,047.43
  4. Step 4: Simplify right side
    289,780.65x = 39,143,496,256.97
  5. Step 5: Solve for x
    x = 39,143,496,256.97/289,780.65
  6. Step 6: Final answer
    x = 135,079.74

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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.