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Finding the Fourth Proportional to 324,858.83, 487,357.76 and 97,172.30

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Solution

The fourth proportional to 324,858.83, 487,357.76 and 97,172.30 is: 145,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,858.83 : 487,357.76 = 97,172.30 : x
  2. Step 2: Convert to fraction form
    324,858.83/487,357.76 = 97,172.30/x
  3. Step 3: Cross multiply
    324,858.83x = 487,357.76 × 97,172.30
  4. Step 4: Simplify right side
    324,858.83x = 47,357,675,923.37
  5. Step 5: Solve for x
    x = 47,357,675,923.37/324,858.83
  6. Step 6: Final answer
    x = 145,779.25

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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.