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Finding the Fourth Proportional to 276,978.43, 415,537.53 and 77,298.63

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Solution

The fourth proportional to 276,978.43, 415,537.53 and 77,298.63 is: 115,967.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,978.43 : 415,537.53 = 77,298.63 : x
  2. Step 2: Convert to fraction form
    276,978.43/415,537.53 = 77,298.63/x
  3. Step 3: Cross multiply
    276,978.43x = 415,537.53 × 77,298.63
  4. Step 4: Simplify right side
    276,978.43x = 32,120,481,782.58
  5. Step 5: Solve for x
    x = 32,120,481,782.58/276,978.43
  6. Step 6: Final answer
    x = 115,967.45

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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.