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Finding the Fourth Proportional to 460,489, 691,127.16 and 180,203.08

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Solution

The fourth proportional to 460,489, 691,127.16 and 180,203.08 is: 270,458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,489 : 691,127.16 = 180,203.08 : x
  2. Step 2: Convert to fraction form
    460,489/691,127.16 = 180,203.08/x
  3. Step 3: Cross multiply
    460,489x = 691,127.16 × 180,203.08
  4. Step 4: Simplify right side
    460,489x = 124,543,242,903.65
  5. Step 5: Solve for x
    x = 124,543,242,903.65/460,489
  6. Step 6: Final answer
    x = 270,458.67

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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.