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Finding the Fourth Proportional to 289,696.63, 434,669.51 and 140,049.45

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Solution

The fourth proportional to 289,696.63, 434,669.51 and 140,049.45 is: 210,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,696.63 : 434,669.51 = 140,049.45 : x
  2. Step 2: Convert to fraction form
    289,696.63/434,669.51 = 140,049.45/x
  3. Step 3: Cross multiply
    289,696.63x = 434,669.51 × 140,049.45
  4. Step 4: Simplify right side
    289,696.63x = 60,875,225,807.27
  5. Step 5: Solve for x
    x = 60,875,225,807.27/289,696.63
  6. Step 6: Final answer
    x = 210,134.39

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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.