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Finding the Fourth Proportional to 518,809.26, 778,237.75 and 158,954.34

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Solution

The fourth proportional to 518,809.26, 778,237.75 and 158,954.34 is: 238,438.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,809.26 : 778,237.75 = 158,954.34 : x
  2. Step 2: Convert to fraction form
    518,809.26/778,237.75 = 158,954.34/x
  3. Step 3: Cross multiply
    518,809.26x = 778,237.75 × 158,954.34
  4. Step 4: Simplify right side
    518,809.26x = 123,704,267,914.34
  5. Step 5: Solve for x
    x = 123,704,267,914.34/518,809.26
  6. Step 6: Final answer
    x = 238,438.82

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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.