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Finding the Fourth Proportional to 441,602.57, 662,420.73 and 138,024.68

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Solution

The fourth proportional to 441,602.57, 662,420.73 and 138,024.68 is: 207,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,602.57 : 662,420.73 = 138,024.68 : x
  2. Step 2: Convert to fraction form
    441,602.57/662,420.73 = 138,024.68/x
  3. Step 3: Cross multiply
    441,602.57x = 662,420.73 × 138,024.68
  4. Step 4: Simplify right side
    441,602.57x = 91,430,405,281.39
  5. Step 5: Solve for x
    x = 91,430,405,281.39/441,602.57
  6. Step 6: Final answer
    x = 207,042.29

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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.