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Finding the Fourth Proportional to 352,089.70, 528,290.07 and 142,137.70

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Solution

The fourth proportional to 352,089.70, 528,290.07 and 142,137.70 is: 213,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,089.70 : 528,290.07 = 142,137.70 : x
  2. Step 2: Convert to fraction form
    352,089.70/528,290.07 = 142,137.70/x
  3. Step 3: Cross multiply
    352,089.70x = 528,290.07 × 142,137.70
  4. Step 4: Simplify right side
    352,089.70x = 75,089,935,482.64
  5. Step 5: Solve for x
    x = 75,089,935,482.64/352,089.70
  6. Step 6: Final answer
    x = 213,269.33

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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.