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Finding the Fourth Proportional to 289,772.40, 434,753.28 and 140,029.92

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Solution

The fourth proportional to 289,772.40, 434,753.28 and 140,029.92 is: 210,090.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,772.40 : 434,753.28 = 140,029.92 : x
  2. Step 2: Convert to fraction form
    289,772.40/434,753.28 = 140,029.92/x
  3. Step 3: Cross multiply
    289,772.40x = 434,753.28 × 140,029.92
  4. Step 4: Simplify right side
    289,772.40x = 60,878,467,018.14
  5. Step 5: Solve for x
    x = 60,878,467,018.14/289,772.40
  6. Step 6: Final answer
    x = 210,090.63

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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.