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Finding the Fourth Proportional to 387,037.44, 580,780.32 and 162,378

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Solution

The fourth proportional to 387,037.44, 580,780.32 and 162,378 is: 243,661.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,037.44 : 580,780.32 = 162,378 : x
  2. Step 2: Convert to fraction form
    387,037.44/580,780.32 = 162,378/x
  3. Step 3: Cross multiply
    387,037.44x = 580,780.32 × 162,378
  4. Step 4: Simplify right side
    387,037.44x = 94,305,946,800.96
  5. Step 5: Solve for x
    x = 94,305,946,800.96/387,037.44
  6. Step 6: Final answer
    x = 243,661.04

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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.