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Finding the Fourth Proportional to 456,293.30, 684,211.52 and 140,709.20

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Solution

The fourth proportional to 456,293.30, 684,211.52 and 140,709.20 is: 210,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,293.30 : 684,211.52 = 140,709.20 : x
  2. Step 2: Convert to fraction form
    456,293.30/684,211.52 = 140,709.20/x
  3. Step 3: Cross multiply
    456,293.30x = 684,211.52 × 140,709.20
  4. Step 4: Simplify right side
    456,293.30x = 96,274,855,609.98
  5. Step 5: Solve for x
    x = 96,274,855,609.98/456,293.30
  6. Step 6: Final answer
    x = 210,993.36

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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.