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Finding the Fourth Proportional to 342,784.80, 514,093.32 and 143,106.84

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Solution

The fourth proportional to 342,784.80, 514,093.32 and 143,106.84 is: 214,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,784.80 : 514,093.32 = 143,106.84 : x
  2. Step 2: Convert to fraction form
    342,784.80/514,093.32 = 143,106.84/x
  3. Step 3: Cross multiply
    342,784.80x = 514,093.32 × 143,106.84
  4. Step 4: Simplify right side
    342,784.80x = 73,570,270,490.31
  5. Step 5: Solve for x
    x = 73,570,270,490.31/342,784.80
  6. Step 6: Final answer
    x = 214,625.24

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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.