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Finding the Fourth Proportional to 516,605.58, 774,907.29 and 142,627.50

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Solution

The fourth proportional to 516,605.58, 774,907.29 and 142,627.50 is: 213,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,605.58 : 774,907.29 = 142,627.50 : x
  2. Step 2: Convert to fraction form
    516,605.58/774,907.29 = 142,627.50/x
  3. Step 3: Cross multiply
    516,605.58x = 774,907.29 × 142,627.50
  4. Step 4: Simplify right side
    516,605.58x = 110,523,089,504.48
  5. Step 5: Solve for x
    x = 110,523,089,504.48/516,605.58
  6. Step 6: Final answer
    x = 213,940.95

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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.