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Finding the Fourth Proportional to 342,828.96, 514,325.60 and 143,038.31

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Solution

The fourth proportional to 342,828.96, 514,325.60 and 143,038.31 is: 214,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,828.96 : 514,325.60 = 143,038.31 : x
  2. Step 2: Convert to fraction form
    342,828.96/514,325.60 = 143,038.31/x
  3. Step 3: Cross multiply
    342,828.96x = 514,325.60 × 143,038.31
  4. Step 4: Simplify right side
    342,828.96x = 73,568,261,863.31
  5. Step 5: Solve for x
    x = 73,568,261,863.31/342,828.96
  6. Step 6: Final answer
    x = 214,591.74

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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.