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Finding the Fourth Proportional to 385,455.49, 577,851.27 and 185,500.78

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Solution

The fourth proportional to 385,455.49, 577,851.27 and 185,500.78 is: 278,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,455.49 : 577,851.27 = 185,500.78 : x
  2. Step 2: Convert to fraction form
    385,455.49/577,851.27 = 185,500.78/x
  3. Step 3: Cross multiply
    385,455.49x = 577,851.27 × 185,500.78
  4. Step 4: Simplify right side
    385,455.49x = 107,191,861,308.99
  5. Step 5: Solve for x
    x = 107,191,861,308.99/385,455.49
  6. Step 6: Final answer
    x = 278,091.41

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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.