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Finding the Fourth Proportional to 312,421.44, 468,256.52 and 143,709.32

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Solution

The fourth proportional to 312,421.44, 468,256.52 and 143,709.32 is: 215,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,421.44 : 468,256.52 = 143,709.32 : x
  2. Step 2: Convert to fraction form
    312,421.44/468,256.52 = 143,709.32/x
  3. Step 3: Cross multiply
    312,421.44x = 468,256.52 × 143,709.32
  4. Step 4: Simplify right side
    312,421.44x = 67,292,826,074.77
  5. Step 5: Solve for x
    x = 67,292,826,074.77/312,421.44
  6. Step 6: Final answer
    x = 215,391.19

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1.5x scale

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.