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Finding the Fourth Proportional to 342,142.58, 513,301.36 and 142,396.58

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Solution

The fourth proportional to 342,142.58, 513,301.36 and 142,396.58 is: 213,631.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,142.58 : 513,301.36 = 142,396.58 : x
  2. Step 2: Convert to fraction form
    342,142.58/513,301.36 = 142,396.58/x
  3. Step 3: Cross multiply
    342,142.58x = 513,301.36 × 142,396.58
  4. Step 4: Simplify right side
    342,142.58x = 73,092,358,173.35
  5. Step 5: Solve for x
    x = 73,092,358,173.35/342,142.58
  6. Step 6: Final answer
    x = 213,631.28

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1.5x scale

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.