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Finding the Fourth Proportional to 461,143.32, 636,673.92 and 289,296.84

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Solution

The fourth proportional to 461,143.32, 636,673.92 and 289,296.84 is: 399,415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,143.32 : 636,673.92 = 289,296.84 : x
  2. Step 2: Convert to fraction form
    461,143.32/636,673.92 = 289,296.84/x
  3. Step 3: Cross multiply
    461,143.32x = 636,673.92 × 289,296.84
  4. Step 4: Simplify right side
    461,143.32x = 184,187,753,166.41
  5. Step 5: Solve for x
    x = 184,187,753,166.41/461,143.32
  6. Step 6: Final answer
    x = 399,415.42

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1.5x scale

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.