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Finding the Fourth Proportional to 342,967.86, 514,509.50 and 126,839.25

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Solution

The fourth proportional to 342,967.86, 514,509.50 and 126,839.25 is: 190,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,967.86 : 514,509.50 = 126,839.25 : x
  2. Step 2: Convert to fraction form
    342,967.86/514,509.50 = 126,839.25/x
  3. Step 3: Cross multiply
    342,967.86x = 514,509.50 × 126,839.25
  4. Step 4: Simplify right side
    342,967.86x = 65,259,999,097.88
  5. Step 5: Solve for x
    x = 65,259,999,097.88/342,967.86
  6. Step 6: Final answer
    x = 190,280.22

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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.