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Finding the Fourth Proportional to 342,893.80, 514,340.70 and 143,147.80

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Solution

The fourth proportional to 342,893.80, 514,340.70 and 143,147.80 is: 214,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,893.80 : 514,340.70 = 143,147.80 : x
  2. Step 2: Convert to fraction form
    342,893.80/514,340.70 = 143,147.80/x
  3. Step 3: Cross multiply
    342,893.80x = 514,340.70 × 143,147.80
  4. Step 4: Simplify right side
    342,893.80x = 73,626,739,655.46
  5. Step 5: Solve for x
    x = 73,626,739,655.46/342,893.80
  6. Step 6: Final answer
    x = 214,721.70

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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.