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Finding the Fourth Proportional to 353,061.40, 529,721.70 and 142,720.60

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Solution

The fourth proportional to 353,061.40, 529,721.70 and 142,720.60 is: 214,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,061.40 : 529,721.70 = 142,720.60 : x
  2. Step 2: Convert to fraction form
    353,061.40/529,721.70 = 142,720.60/x
  3. Step 3: Cross multiply
    353,061.40x = 529,721.70 × 142,720.60
  4. Step 4: Simplify right side
    353,061.40x = 75,602,198,857.02
  5. Step 5: Solve for x
    x = 75,602,198,857.02/353,061.40
  6. Step 6: Final answer
    x = 214,133.29

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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.