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Finding the Fourth Proportional to 340,365, 510,780.80 and 118,749

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Solution

The fourth proportional to 340,365, 510,780.80 and 118,749 is: 178,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,365 : 510,780.80 = 118,749 : x
  2. Step 2: Convert to fraction form
    340,365/510,780.80 = 118,749/x
  3. Step 3: Cross multiply
    340,365x = 510,780.80 × 118,749
  4. Step 4: Simplify right side
    340,365x = 60,654,709,219.20
  5. Step 5: Solve for x
    x = 60,654,709,219.20/340,365
  6. Step 6: Final answer
    x = 178,204.90

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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.