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Finding the Fourth Proportional to 486,281,431.80, 729,422,147.70 and 145,879,255.80

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Solution

The fourth proportional to 486,281,431.80, 729,422,147.70 and 145,879,255.80 is: 218,818,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,281,431.80 : 729,422,147.70 = 145,879,255.80 : x
  2. Step 2: Convert to fraction form
    486,281,431.80/729,422,147.70 = 145,879,255.80/x
  3. Step 3: Cross multiply
    486,281,431.80x = 729,422,147.70 × 145,879,255.80
  4. Step 4: Simplify right side
    486,281,431.80x = 106,407,560,070,513,696
  5. Step 5: Solve for x
    x = 106,407,560,070,513,696/486,281,431.80
  6. Step 6: Final answer
    x = 218,818,883.70

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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.