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Finding the Fourth Proportional to 298,642,466.40, 447,984,694.80 and 169,312,034.40

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Solution

The fourth proportional to 298,642,466.40, 447,984,694.80 and 169,312,034.40 is: 253,979,954.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,642,466.40 : 447,984,694.80 = 169,312,034.40 : x
  2. Step 2: Convert to fraction form
    298,642,466.40/447,984,694.80 = 169,312,034.40/x
  3. Step 3: Cross multiply
    298,642,466.40x = 447,984,694.80 × 169,312,034.40
  4. Step 4: Simplify right side
    298,642,466.40x = 75,849,200,056,651,104
  5. Step 5: Solve for x
    x = 75,849,200,056,651,104/298,642,466.40
  6. Step 6: Final answer
    x = 253,979,954.60

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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.