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Finding the Fourth Proportional to 515,378, 711,299.40 and 314,290.64

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Solution

The fourth proportional to 515,378, 711,299.40 and 314,290.64 is: 433,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,378 : 711,299.40 = 314,290.64 : x
  2. Step 2: Convert to fraction form
    515,378/711,299.40 = 314,290.64/x
  3. Step 3: Cross multiply
    515,378x = 711,299.40 × 314,290.64
  4. Step 4: Simplify right side
    515,378x = 223,554,743,657.62
  5. Step 5: Solve for x
    x = 223,554,743,657.62/515,378
  6. Step 6: Final answer
    x = 433,768.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.