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Finding the Fourth Proportional to 385,859.94, 578,811.77 and 119,658.30

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Solution

The fourth proportional to 385,859.94, 578,811.77 and 119,658.30 is: 179,494.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,859.94 : 578,811.77 = 119,658.30 : x
  2. Step 2: Convert to fraction form
    385,859.94/578,811.77 = 119,658.30/x
  3. Step 3: Cross multiply
    385,859.94x = 578,811.77 × 119,658.30
  4. Step 4: Simplify right side
    385,859.94x = 69,259,629,823.28
  5. Step 5: Solve for x
    x = 69,259,629,823.28/385,859.94
  6. Step 6: Final answer
    x = 179,494.22

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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.