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Finding the Fourth Proportional to 642,129.20, 962,502.60 and 242,615.60

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Solution

The fourth proportional to 642,129.20, 962,502.60 and 242,615.60 is: 363,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,129.20 : 962,502.60 = 242,615.60 : x
  2. Step 2: Convert to fraction form
    642,129.20/962,502.60 = 242,615.60/x
  3. Step 3: Cross multiply
    642,129.20x = 962,502.60 × 242,615.60
  4. Step 4: Simplify right side
    642,129.20x = 233,518,145,800.56
  5. Step 5: Solve for x
    x = 233,518,145,800.56/642,129.20
  6. Step 6: Final answer
    x = 363,662.24

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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.