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Finding the Fourth Proportional to 518,452.02, 776,978.16 and 269,308.98

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Solution

The fourth proportional to 518,452.02, 776,978.16 and 269,308.98 is: 403,599.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,452.02 : 776,978.16 = 269,308.98 : x
  2. Step 2: Convert to fraction form
    518,452.02/776,978.16 = 269,308.98/x
  3. Step 3: Cross multiply
    518,452.02x = 776,978.16 × 269,308.98
  4. Step 4: Simplify right side
    518,452.02x = 209,247,195,751.88
  5. Step 5: Solve for x
    x = 209,247,195,751.88/518,452.02
  6. Step 6: Final answer
    x = 403,599.92

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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.