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Finding the Fourth Proportional to 519,706.40, 779,329.20 and 239,309.60

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Solution

The fourth proportional to 519,706.40, 779,329.20 and 239,309.60 is: 358,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,706.40 : 779,329.20 = 239,309.60 : x
  2. Step 2: Convert to fraction form
    519,706.40/779,329.20 = 239,309.60/x
  3. Step 3: Cross multiply
    519,706.40x = 779,329.20 × 239,309.60
  4. Step 4: Simplify right side
    519,706.40x = 186,500,959,120.32
  5. Step 5: Solve for x
    x = 186,500,959,120.32/519,706.40
  6. Step 6: Final answer
    x = 358,858.31

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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.