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Finding the Fourth Proportional to 463,847.46, 640,421.38 and 289,682.98

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Solution

The fourth proportional to 463,847.46, 640,421.38 and 289,682.98 is: 399,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,847.46 : 640,421.38 = 289,682.98 : x
  2. Step 2: Convert to fraction form
    463,847.46/640,421.38 = 289,682.98/x
  3. Step 3: Cross multiply
    463,847.46x = 640,421.38 × 289,682.98
  4. Step 4: Simplify right side
    463,847.46x = 185,519,173,089.91
  5. Step 5: Solve for x
    x = 185,519,173,089.91/463,847.46
  6. Step 6: Final answer
    x = 399,957.29

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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.