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Finding the Fourth Proportional to 384,928.80, 577,406.40 and 118,687.20

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Solution

The fourth proportional to 384,928.80, 577,406.40 and 118,687.20 is: 178,034.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,928.80 : 577,406.40 = 118,687.20 : x
  2. Step 2: Convert to fraction form
    384,928.80/577,406.40 = 118,687.20/x
  3. Step 3: Cross multiply
    384,928.80x = 577,406.40 × 118,687.20
  4. Step 4: Simplify right side
    384,928.80x = 68,530,748,878.08
  5. Step 5: Solve for x
    x = 68,530,748,878.08/384,928.80
  6. Step 6: Final answer
    x = 178,034.87

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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.