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Finding the Fourth Proportional to 276,971.33, 415,527.12 and 77,291.69

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Solution

The fourth proportional to 276,971.33, 415,527.12 and 77,291.69 is: 115,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,971.33 : 415,527.12 = 77,291.69 : x
  2. Step 2: Convert to fraction form
    276,971.33/415,527.12 = 77,291.69/x
  3. Step 3: Cross multiply
    276,971.33x = 415,527.12 × 77,291.69
  4. Step 4: Simplify right side
    276,971.33x = 32,116,793,345.63
  5. Step 5: Solve for x
    x = 32,116,793,345.63/276,971.33
  6. Step 6: Final answer
    x = 115,957.10

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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.