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Finding the Fourth Proportional to 402,435.41, 603,671.43 and 284,632.65

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Solution

The fourth proportional to 402,435.41, 603,671.43 and 284,632.65 is: 426,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,435.41 : 603,671.43 = 284,632.65 : x
  2. Step 2: Convert to fraction form
    402,435.41/603,671.43 = 284,632.65/x
  3. Step 3: Cross multiply
    402,435.41x = 603,671.43 × 284,632.65
  4. Step 4: Simplify right side
    402,435.41x = 171,824,599,917.56
  5. Step 5: Solve for x
    x = 171,824,599,917.56/402,435.41
  6. Step 6: Final answer
    x = 426,961.94

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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.