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Finding the Fourth Proportional to 463,393.08, 639,582.21 and 282,164.94

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Solution

The fourth proportional to 463,393.08, 639,582.21 and 282,164.94 is: 389,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,393.08 : 639,582.21 = 282,164.94 : x
  2. Step 2: Convert to fraction form
    463,393.08/639,582.21 = 282,164.94/x
  3. Step 3: Cross multiply
    463,393.08x = 639,582.21 × 282,164.94
  4. Step 4: Simplify right side
    463,393.08x = 180,467,675,909.72
  5. Step 5: Solve for x
    x = 180,467,675,909.72/463,393.08
  6. Step 6: Final answer
    x = 389,448.36

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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.