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Finding the Fourth Proportional to 340,683.81, 510,869.99 and 127,295.25

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Solution

The fourth proportional to 340,683.81, 510,869.99 and 127,295.25 is: 190,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,683.81 : 510,869.99 = 127,295.25 : x
  2. Step 2: Convert to fraction form
    340,683.81/510,869.99 = 127,295.25/x
  3. Step 3: Cross multiply
    340,683.81x = 510,869.99 × 127,295.25
  4. Step 4: Simplify right side
    340,683.81x = 65,031,322,458.07
  5. Step 5: Solve for x
    x = 65,031,322,458.07/340,683.81
  6. Step 6: Final answer
    x = 190,884.69

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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.