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Finding the Fourth Proportional to 342,866.80, 514,382.34 and 143,076.07

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Solution

The fourth proportional to 342,866.80, 514,382.34 and 143,076.07 is: 214,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,866.80 : 514,382.34 = 143,076.07 : x
  2. Step 2: Convert to fraction form
    342,866.80/514,382.34 = 143,076.07/x
  3. Step 3: Cross multiply
    342,866.80x = 514,382.34 × 143,076.07
  4. Step 4: Simplify right side
    342,866.80x = 73,595,803,684.60
  5. Step 5: Solve for x
    x = 73,595,803,684.60/342,866.80
  6. Step 6: Final answer
    x = 214,648.38

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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.