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Finding the Fourth Proportional to 518,809.28, 778,237.77 and 158,954.36

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Solution

The fourth proportional to 518,809.28, 778,237.77 and 158,954.36 is: 238,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,809.28 : 778,237.77 = 158,954.36 : x
  2. Step 2: Convert to fraction form
    518,809.28/778,237.77 = 158,954.36/x
  3. Step 3: Cross multiply
    518,809.28x = 778,237.77 × 158,954.36
  4. Step 4: Simplify right side
    518,809.28x = 123,704,286,658.18
  5. Step 5: Solve for x
    x = 123,704,286,658.18/518,809.28
  6. Step 6: Final answer
    x = 238,438.85

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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.