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Finding the Fourth Proportional to 352,602, 528,900.48 and 142,091.28

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Solution

The fourth proportional to 352,602, 528,900.48 and 142,091.28 is: 213,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,602 : 528,900.48 = 142,091.28 : x
  2. Step 2: Convert to fraction form
    352,602/528,900.48 = 142,091.28/x
  3. Step 3: Cross multiply
    352,602x = 528,900.48 × 142,091.28
  4. Step 4: Simplify right side
    352,602x = 75,152,146,195.81
  5. Step 5: Solve for x
    x = 75,152,146,195.81/352,602
  6. Step 6: Final answer
    x = 213,135.90

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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.