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Finding the Fourth Proportional to 342,983.69, 514,475.73 and 143,195.16

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Solution

The fourth proportional to 342,983.69, 514,475.73 and 143,195.16 is: 214,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,983.69 : 514,475.73 = 143,195.16 : x
  2. Step 2: Convert to fraction form
    342,983.69/514,475.73 = 143,195.16/x
  3. Step 3: Cross multiply
    342,983.69x = 514,475.73 × 143,195.16
  4. Step 4: Simplify right side
    342,983.69x = 73,670,434,473.47
  5. Step 5: Solve for x
    x = 73,670,434,473.47/342,983.69
  6. Step 6: Final answer
    x = 214,792.82

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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.