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Finding the Fourth Proportional to 289,903.84, 399,696.96 and 187,748.80

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Solution

The fourth proportional to 289,903.84, 399,696.96 and 187,748.80 is: 258,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,903.84 : 399,696.96 = 187,748.80 : x
  2. Step 2: Convert to fraction form
    289,903.84/399,696.96 = 187,748.80/x
  3. Step 3: Cross multiply
    289,903.84x = 399,696.96 × 187,748.80
  4. Step 4: Simplify right side
    289,903.84x = 75,042,624,603.65
  5. Step 5: Solve for x
    x = 75,042,624,603.65/289,903.84
  6. Step 6: Final answer
    x = 258,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.