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Finding the Fourth Proportional to 325,423.48, 488,182.74 and 100,804

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Solution

The fourth proportional to 325,423.48, 488,182.74 and 100,804 is: 151,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,423.48 : 488,182.74 = 100,804 : x
  2. Step 2: Convert to fraction form
    325,423.48/488,182.74 = 100,804/x
  3. Step 3: Cross multiply
    325,423.48x = 488,182.74 × 100,804
  4. Step 4: Simplify right side
    325,423.48x = 49,210,772,922.96
  5. Step 5: Solve for x
    x = 49,210,772,922.96/325,423.48
  6. Step 6: Final answer
    x = 151,220.72

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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.