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Finding the Fourth Proportional to 550,468,659.60, 825,702,989.40 and 305,580,646.80

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Solution

The fourth proportional to 550,468,659.60, 825,702,989.40 and 305,580,646.80 is: 458,370,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,468,659.60 : 825,702,989.40 = 305,580,646.80 : x
  2. Step 2: Convert to fraction form
    550,468,659.60/825,702,989.40 = 305,580,646.80/x
  3. Step 3: Cross multiply
    550,468,659.60x = 825,702,989.40 × 305,580,646.80
  4. Step 4: Simplify right side
    550,468,659.60x = 252,318,853,565,545,536
  5. Step 5: Solve for x
    x = 252,318,853,565,545,536/550,468,659.60
  6. Step 6: Final answer
    x = 458,370,970.20

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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.