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Finding the Fourth Proportional to 342,290.28, 513,090.36 and 142,720.86

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Solution

The fourth proportional to 342,290.28, 513,090.36 and 142,720.86 is: 213,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,290.28 : 513,090.36 = 142,720.86 : x
  2. Step 2: Convert to fraction form
    342,290.28/513,090.36 = 142,720.86/x
  3. Step 3: Cross multiply
    342,290.28x = 513,090.36 × 142,720.86
  4. Step 4: Simplify right side
    342,290.28x = 73,228,697,436.91
  5. Step 5: Solve for x
    x = 73,228,697,436.91/342,290.28
  6. Step 6: Final answer
    x = 213,937.41

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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.