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Finding the Fourth Proportional to 342,397.32, 513,317.61 and 142,866.33

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Solution

The fourth proportional to 342,397.32, 513,317.61 and 142,866.33 is: 214,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,397.32 : 513,317.61 = 142,866.33 : x
  2. Step 2: Convert to fraction form
    342,397.32/513,317.61 = 142,866.33/x
  3. Step 3: Cross multiply
    342,397.32x = 513,317.61 × 142,866.33
  4. Step 4: Simplify right side
    342,397.32x = 73,335,803,065.07
  5. Step 5: Solve for x
    x = 73,335,803,065.07/342,397.32
  6. Step 6: Final answer
    x = 214,183.34

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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.