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Finding the Fourth Proportional to 456,367.94, 684,643.20 and 140,813

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Solution

The fourth proportional to 456,367.94, 684,643.20 and 140,813 is: 211,247.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,367.94 : 684,643.20 = 140,813 : x
  2. Step 2: Convert to fraction form
    456,367.94/684,643.20 = 140,813/x
  3. Step 3: Cross multiply
    456,367.94x = 684,643.20 × 140,813
  4. Step 4: Simplify right side
    456,367.94x = 96,406,662,921.60
  5. Step 5: Solve for x
    x = 96,406,662,921.60/456,367.94
  6. Step 6: Final answer
    x = 211,247.67

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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.