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Finding the Fourth Proportional to 276,970.33, 415,525.62 and 77,290.69

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Solution

The fourth proportional to 276,970.33, 415,525.62 and 77,290.69 is: 115,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,970.33 : 415,525.62 = 77,290.69 : x
  2. Step 2: Convert to fraction form
    276,970.33/415,525.62 = 77,290.69/x
  3. Step 3: Cross multiply
    276,970.33x = 415,525.62 × 77,290.69
  4. Step 4: Simplify right side
    276,970.33x = 32,116,261,882.48
  5. Step 5: Solve for x
    x = 32,116,261,882.48/276,970.33
  6. Step 6: Final answer
    x = 115,955.60

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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.