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Finding the Fourth Proportional to 276,930.09, 415,398.47 and 77,238.32

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Solution

The fourth proportional to 276,930.09, 415,398.47 and 77,238.32 is: 115,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,930.09 : 415,398.47 = 77,238.32 : x
  2. Step 2: Convert to fraction form
    276,930.09/415,398.47 = 77,238.32/x
  3. Step 3: Cross multiply
    276,930.09x = 415,398.47 × 77,238.32
  4. Step 4: Simplify right side
    276,930.09x = 32,084,679,953.37
  5. Step 5: Solve for x
    x = 32,084,679,953.37/276,930.09
  6. Step 6: Final answer
    x = 115,858.41

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1.5x scale

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.