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Finding the Fourth Proportional to 344,534.36, 516,978.32 and 142,280.60

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Solution

The fourth proportional to 344,534.36, 516,978.32 and 142,280.60 is: 213,493.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,534.36 : 516,978.32 = 142,280.60 : x
  2. Step 2: Convert to fraction form
    344,534.36/516,978.32 = 142,280.60/x
  3. Step 3: Cross multiply
    344,534.36x = 516,978.32 × 142,280.60
  4. Step 4: Simplify right side
    344,534.36x = 73,555,986,368.79
  5. Step 5: Solve for x
    x = 73,555,986,368.79/344,534.36
  6. Step 6: Final answer
    x = 213,493.91

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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.