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Finding the Fourth Proportional to 465,311.88, 697,971.45 and 254,835

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Solution

The fourth proportional to 465,311.88, 697,971.45 and 254,835 is: 382,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,311.88 : 697,971.45 = 254,835 : x
  2. Step 2: Convert to fraction form
    465,311.88/697,971.45 = 254,835/x
  3. Step 3: Cross multiply
    465,311.88x = 697,971.45 × 254,835
  4. Step 4: Simplify right side
    465,311.88x = 177,867,554,460.75
  5. Step 5: Solve for x
    x = 177,867,554,460.75/465,311.88
  6. Step 6: Final answer
    x = 382,254.49

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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.