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Finding the Fourth Proportional to 518,809.50, 778,238.13 and 158,954.58

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Solution

The fourth proportional to 518,809.50, 778,238.13 and 158,954.58 is: 238,439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,809.50 : 778,238.13 = 158,954.58 : x
  2. Step 2: Convert to fraction form
    518,809.50/778,238.13 = 158,954.58/x
  3. Step 3: Cross multiply
    518,809.50x = 778,238.13 × 158,954.58
  4. Step 4: Simplify right side
    518,809.50x = 123,704,515,094.14
  5. Step 5: Solve for x
    x = 123,704,515,094.14/518,809.50
  6. Step 6: Final answer
    x = 238,439.19

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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.