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Finding the Fourth Proportional to 342,991.76, 514,487.93 and 143,203.23

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Solution

The fourth proportional to 342,991.76, 514,487.93 and 143,203.23 is: 214,804.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,991.76 : 514,487.93 = 143,203.23 : x
  2. Step 2: Convert to fraction form
    342,991.76/514,487.93 = 143,203.23/x
  3. Step 3: Cross multiply
    342,991.76x = 514,487.93 × 143,203.23
  4. Step 4: Simplify right side
    342,991.76x = 73,676,332,656.00
  5. Step 5: Solve for x
    x = 73,676,332,656.00/342,991.76
  6. Step 6: Final answer
    x = 214,804.97

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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.