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Finding the Fourth Proportional to 427,835.76, 590,482.08 and 325,698

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Solution

The fourth proportional to 427,835.76, 590,482.08 and 325,698 is: 449,515.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,835.76 : 590,482.08 = 325,698 : x
  2. Step 2: Convert to fraction form
    427,835.76/590,482.08 = 325,698/x
  3. Step 3: Cross multiply
    427,835.76x = 590,482.08 × 325,698
  4. Step 4: Simplify right side
    427,835.76x = 192,318,832,491.84
  5. Step 5: Solve for x
    x = 192,318,832,491.84/427,835.76
  6. Step 6: Final answer
    x = 449,515.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.