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Finding the Fourth Proportional to 288,729,987.60, 433,201,269.60 and 94,647,734.40

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Solution

The fourth proportional to 288,729,987.60, 433,201,269.60 and 94,647,734.40 is: 142,006,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,729,987.60 : 433,201,269.60 = 94,647,734.40 : x
  2. Step 2: Convert to fraction form
    288,729,987.60/433,201,269.60 = 94,647,734.40/x
  3. Step 3: Cross multiply
    288,729,987.60x = 433,201,269.60 × 94,647,734.40
  4. Step 4: Simplify right side
    288,729,987.60x = 41,001,518,706,843,600
  5. Step 5: Solve for x
    x = 41,001,518,706,843,600/288,729,987.60
  6. Step 6: Final answer
    x = 142,006,443.62

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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.