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Finding the Fourth Proportional to 469,782.60, 648,296.70 and 254,917.20

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Solution

The fourth proportional to 469,782.60, 648,296.70 and 254,917.20 is: 351,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,782.60 : 648,296.70 = 254,917.20 : x
  2. Step 2: Convert to fraction form
    469,782.60/648,296.70 = 254,917.20/x
  3. Step 3: Cross multiply
    469,782.60x = 648,296.70 × 254,917.20
  4. Step 4: Simplify right side
    469,782.60x = 165,261,979,533.24
  5. Step 5: Solve for x
    x = 165,261,979,533.24/469,782.60
  6. Step 6: Final answer
    x = 351,783.95

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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.