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Finding the Fourth Proportional to 447,406.21, 671,214.43 and 147,886.80

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Solution

The fourth proportional to 447,406.21, 671,214.43 and 147,886.80 is: 221,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,406.21 : 671,214.43 = 147,886.80 : x
  2. Step 2: Convert to fraction form
    447,406.21/671,214.43 = 147,886.80/x
  3. Step 3: Cross multiply
    447,406.21x = 671,214.43 × 147,886.80
  4. Step 4: Simplify right side
    447,406.21x = 99,263,751,002.47
  5. Step 5: Solve for x
    x = 99,263,751,002.47/447,406.21
  6. Step 6: Final answer
    x = 221,864.94

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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.