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Finding the Fourth Proportional to 384,930.40, 577,438.80 and 118,688.80

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Solution

The fourth proportional to 384,930.40, 577,438.80 and 118,688.80 is: 178,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,930.40 : 577,438.80 = 118,688.80 : x
  2. Step 2: Convert to fraction form
    384,930.40/577,438.80 = 118,688.80/x
  3. Step 3: Cross multiply
    384,930.40x = 577,438.80 × 118,688.80
  4. Step 4: Simplify right side
    384,930.40x = 68,535,518,245.44
  5. Step 5: Solve for x
    x = 68,535,518,245.44/384,930.40
  6. Step 6: Final answer
    x = 178,046.52

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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.