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Finding the Fourth Proportional to 216,647,264.44, 298,894,764.72 and 142,347,842.02

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Solution

The fourth proportional to 216,647,264.44, 298,894,764.72 and 142,347,842.02 is: 196,388,469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,647,264.44 : 298,894,764.72 = 142,347,842.02 : x
  2. Step 2: Convert to fraction form
    216,647,264.44/298,894,764.72 = 142,347,842.02/x
  3. Step 3: Cross multiply
    216,647,264.44x = 298,894,764.72 × 142,347,842.02
  4. Step 4: Simplify right side
    216,647,264.44x = 42,547,024,748,967,640
  5. Step 5: Solve for x
    x = 42,547,024,748,967,640/216,647,264.44
  6. Step 6: Final answer
    x = 196,388,469.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.