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Finding the Fourth Proportional to 342,790.80, 514,102.32 and 143,112.84

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Solution

The fourth proportional to 342,790.80, 514,102.32 and 143,112.84 is: 214,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,790.80 : 514,102.32 = 143,112.84 : x
  2. Step 2: Convert to fraction form
    342,790.80/514,102.32 = 143,112.84/x
  3. Step 3: Cross multiply
    342,790.80x = 514,102.32 × 143,112.84
  4. Step 4: Simplify right side
    342,790.80x = 73,574,643,065.79
  5. Step 5: Solve for x
    x = 73,574,643,065.79/342,790.80
  6. Step 6: Final answer
    x = 214,634.24

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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.