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Finding the Fourth Proportional to 384,648,718.42, 576,977,509.92 and 139,024,007.38

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Solution

The fourth proportional to 384,648,718.42, 576,977,509.92 and 139,024,007.38 is: 208,537,613.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,648,718.42 : 576,977,509.92 = 139,024,007.38 : x
  2. Step 2: Convert to fraction form
    384,648,718.42/576,977,509.92 = 139,024,007.38/x
  3. Step 3: Cross multiply
    384,648,718.42x = 576,977,509.92 × 139,024,007.38
  4. Step 4: Simplify right side
    384,648,718.42x = 80,213,725,597,212,096
  5. Step 5: Solve for x
    x = 80,213,725,597,212,096/384,648,718.42
  6. Step 6: Final answer
    x = 208,537,613.04

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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.