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Finding the Fourth Proportional to 612,167.54, 917,315.75 and 256,986.59

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Solution

The fourth proportional to 612,167.54, 917,315.75 and 256,986.59 is: 385,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,167.54 : 917,315.75 = 256,986.59 : x
  2. Step 2: Convert to fraction form
    612,167.54/917,315.75 = 256,986.59/x
  3. Step 3: Cross multiply
    612,167.54x = 917,315.75 × 256,986.59
  4. Step 4: Simplify right side
    612,167.54x = 235,737,842,601.68
  5. Step 5: Solve for x
    x = 235,737,842,601.68/612,167.54
  6. Step 6: Final answer
    x = 385,087.14

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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.