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Finding the Fourth Proportional to 405,029.12, 607,629.60 and 138,718.16

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Solution

The fourth proportional to 405,029.12, 607,629.60 and 138,718.16 is: 208,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,029.12 : 607,629.60 = 138,718.16 : x
  2. Step 2: Convert to fraction form
    405,029.12/607,629.60 = 138,718.16/x
  3. Step 3: Cross multiply
    405,029.12x = 607,629.60 × 138,718.16
  4. Step 4: Simplify right side
    405,029.12x = 84,289,260,073.54
  5. Step 5: Solve for x
    x = 84,289,260,073.54/405,029.12
  6. Step 6: Final answer
    x = 208,106.67

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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.