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Finding the Fourth Proportional to 518,273.28, 776,943.36 and 185,616

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Solution

The fourth proportional to 518,273.28, 776,943.36 and 185,616 is: 278,256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,273.28 : 776,943.36 = 185,616 : x
  2. Step 2: Convert to fraction form
    518,273.28/776,943.36 = 185,616/x
  3. Step 3: Cross multiply
    518,273.28x = 776,943.36 × 185,616
  4. Step 4: Simplify right side
    518,273.28x = 144,213,118,709.76
  5. Step 5: Solve for x
    x = 144,213,118,709.76/518,273.28
  6. Step 6: Final answer
    x = 278,256.90

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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.