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Finding the Fourth Proportional to 289,657,974.20, 434,990,846.10 and 153,609,078.20

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Solution

The fourth proportional to 289,657,974.20, 434,990,846.10 and 153,609,078.20 is: 230,680,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,657,974.20 : 434,990,846.10 = 153,609,078.20 : x
  2. Step 2: Convert to fraction form
    289,657,974.20/434,990,846.10 = 153,609,078.20/x
  3. Step 3: Cross multiply
    289,657,974.20x = 434,990,846.10 × 153,609,078.20
  4. Step 4: Simplify right side
    289,657,974.20x = 66,818,542,894,859,064
  5. Step 5: Solve for x
    x = 66,818,542,894,859,064/289,657,974.20
  6. Step 6: Final answer
    x = 230,680,833.42

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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.