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Finding the Fourth Proportional to 342,665.16, 513,615.42 and 142,919.16

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Solution

The fourth proportional to 342,665.16, 513,615.42 and 142,919.16 is: 214,219.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,665.16 : 513,615.42 = 142,919.16 : x
  2. Step 2: Convert to fraction form
    342,665.16/513,615.42 = 142,919.16/x
  3. Step 3: Cross multiply
    342,665.16x = 513,615.42 × 142,919.16
  4. Step 4: Simplify right side
    342,665.16x = 73,405,484,389.45
  5. Step 5: Solve for x
    x = 73,405,484,389.45/342,665.16
  6. Step 6: Final answer
    x = 214,219.28

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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.