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Finding the Fourth Proportional to 469,138.08, 647,420.50 and 265,176.79

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Solution

The fourth proportional to 469,138.08, 647,420.50 and 265,176.79 is: 365,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,138.08 : 647,420.50 = 265,176.79 : x
  2. Step 2: Convert to fraction form
    469,138.08/647,420.50 = 265,176.79/x
  3. Step 3: Cross multiply
    469,138.08x = 647,420.50 × 265,176.79
  4. Step 4: Simplify right side
    469,138.08x = 171,680,887,191.50
  5. Step 5: Solve for x
    x = 171,680,887,191.50/469,138.08
  6. Step 6: Final answer
    x = 365,949.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.