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Finding the Fourth Proportional to 465,188.16, 642,059.64 and 283,861.20

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Solution

The fourth proportional to 465,188.16, 642,059.64 and 283,861.20 is: 391,789.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,188.16 : 642,059.64 = 283,861.20 : x
  2. Step 2: Convert to fraction form
    465,188.16/642,059.64 = 283,861.20/x
  3. Step 3: Cross multiply
    465,188.16x = 642,059.64 × 283,861.20
  4. Step 4: Simplify right side
    465,188.16x = 182,255,819,881.97
  5. Step 5: Solve for x
    x = 182,255,819,881.97/465,188.16
  6. Step 6: Final answer
    x = 391,789.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.