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Finding the Fourth Proportional to 649,530.42, 975,179.16 and 365,420.90

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Solution

The fourth proportional to 649,530.42, 975,179.16 and 365,420.90 is: 548,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,530.42 : 975,179.16 = 365,420.90 : x
  2. Step 2: Convert to fraction form
    649,530.42/975,179.16 = 365,420.90/x
  3. Step 3: Cross multiply
    649,530.42x = 975,179.16 × 365,420.90
  4. Step 4: Simplify right side
    649,530.42x = 356,350,846,308.44
  5. Step 5: Solve for x
    x = 356,350,846,308.44/649,530.42
  6. Step 6: Final answer
    x = 548,628.42

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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.