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Finding the Fourth Proportional to 421,708.20, 632,343.60 and 155,331.60

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Solution

The fourth proportional to 421,708.20, 632,343.60 and 155,331.60 is: 232,916.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,708.20 : 632,343.60 = 155,331.60 : x
  2. Step 2: Convert to fraction form
    421,708.20/632,343.60 = 155,331.60/x
  3. Step 3: Cross multiply
    421,708.20x = 632,343.60 × 155,331.60
  4. Step 4: Simplify right side
    421,708.20x = 98,222,943,137.76
  5. Step 5: Solve for x
    x = 98,222,943,137.76/421,708.20
  6. Step 6: Final answer
    x = 232,916.84

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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.