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Finding the Fourth Proportional to 405,293.22, 607,952.22 and 139,050

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Solution

The fourth proportional to 405,293.22, 607,952.22 and 139,050 is: 208,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,293.22 : 607,952.22 = 139,050 : x
  2. Step 2: Convert to fraction form
    405,293.22/607,952.22 = 139,050/x
  3. Step 3: Cross multiply
    405,293.22x = 607,952.22 × 139,050
  4. Step 4: Simplify right side
    405,293.22x = 84,535,756,191
  5. Step 5: Solve for x
    x = 84,535,756,191/405,293.22
  6. Step 6: Final answer
    x = 208,579.25

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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.