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Finding the Fourth Proportional to 284,112.76, 425,652.30 and 165,424.28

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Solution

The fourth proportional to 284,112.76, 425,652.30 and 165,424.28 is: 247,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,112.76 : 425,652.30 = 165,424.28 : x
  2. Step 2: Convert to fraction form
    284,112.76/425,652.30 = 165,424.28/x
  3. Step 3: Cross multiply
    284,112.76x = 425,652.30 × 165,424.28
  4. Step 4: Simplify right side
    284,112.76x = 70,413,225,257.84
  5. Step 5: Solve for x
    x = 70,413,225,257.84/284,112.76
  6. Step 6: Final answer
    x = 247,835.49

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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.