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Finding the Fourth Proportional to 515,409.75, 711,343.22 and 314,322.39

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Solution

The fourth proportional to 515,409.75, 711,343.22 and 314,322.39 is: 433,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,409.75 : 711,343.22 = 314,322.39 : x
  2. Step 2: Convert to fraction form
    515,409.75/711,343.22 = 314,322.39/x
  3. Step 3: Cross multiply
    515,409.75x = 711,343.22 × 314,322.39
  4. Step 4: Simplify right side
    515,409.75x = 223,591,099,449.08
  5. Step 5: Solve for x
    x = 223,591,099,449.08/515,409.75
  6. Step 6: Final answer
    x = 433,812.32

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1.5x scale

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.