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Finding the Fourth Proportional to 322,779.66, 484,196.60 and 98,142.05

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Solution

The fourth proportional to 322,779.66, 484,196.60 and 98,142.05 is: 147,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,779.66 : 484,196.60 = 98,142.05 : x
  2. Step 2: Convert to fraction form
    322,779.66/484,196.60 = 98,142.05/x
  3. Step 3: Cross multiply
    322,779.66x = 484,196.60 × 98,142.05
  4. Step 4: Simplify right side
    322,779.66x = 47,520,048,014.84
  5. Step 5: Solve for x
    x = 47,520,048,014.84/322,779.66
  6. Step 6: Final answer
    x = 147,221.32

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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.