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Finding the Fourth Proportional to 277,014.69, 415,374.35 and 143,760.78

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Solution

The fourth proportional to 277,014.69, 415,374.35 and 143,760.78 is: 215,564.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,014.69 : 415,374.35 = 143,760.78 : x
  2. Step 2: Convert to fraction form
    277,014.69/415,374.35 = 143,760.78/x
  3. Step 3: Cross multiply
    277,014.69x = 415,374.35 × 143,760.78
  4. Step 4: Simplify right side
    277,014.69x = 59,714,539,829.19
  5. Step 5: Solve for x
    x = 59,714,539,829.19/277,014.69
  6. Step 6: Final answer
    x = 215,564.52

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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.