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Finding the Fourth Proportional to 385,222.40, 577,876.80 and 118,980.80

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Solution

The fourth proportional to 385,222.40, 577,876.80 and 118,980.80 is: 178,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,222.40 : 577,876.80 = 118,980.80 : x
  2. Step 2: Convert to fraction form
    385,222.40/577,876.80 = 118,980.80/x
  3. Step 3: Cross multiply
    385,222.40x = 577,876.80 × 118,980.80
  4. Step 4: Simplify right side
    385,222.40x = 68,756,243,965.44
  5. Step 5: Solve for x
    x = 68,756,243,965.44/385,222.40
  6. Step 6: Final answer
    x = 178,484.54

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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.