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Finding the Fourth Proportional to 513,991.53, 709,382.54 and 296,158.49

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Solution

The fourth proportional to 513,991.53, 709,382.54 and 296,158.49 is: 408,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,991.53 : 709,382.54 = 296,158.49 : x
  2. Step 2: Convert to fraction form
    513,991.53/709,382.54 = 296,158.49/x
  3. Step 3: Cross multiply
    513,991.53x = 709,382.54 × 296,158.49
  4. Step 4: Simplify right side
    513,991.53x = 210,089,656,851.06
  5. Step 5: Solve for x
    x = 210,089,656,851.06/513,991.53
  6. Step 6: Final answer
    x = 408,741.48

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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.