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Finding the Fourth Proportional to 548,937,009.60, 823,405,514.40 and 472,409,505.60

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Solution

The fourth proportional to 548,937,009.60, 823,405,514.40 and 472,409,505.60 is: 708,614,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,937,009.60 : 823,405,514.40 = 472,409,505.60 : x
  2. Step 2: Convert to fraction form
    548,937,009.60/823,405,514.40 = 472,409,505.60/x
  3. Step 3: Cross multiply
    548,937,009.60x = 823,405,514.40 × 472,409,505.60
  4. Step 4: Simplify right side
    548,937,009.60x = 388,984,591,966,017,664
  5. Step 5: Solve for x
    x = 388,984,591,966,017,664/548,937,009.60
  6. Step 6: Final answer
    x = 708,614,258.40

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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.