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Finding the Fourth Proportional to 447,289.80, 617,264.82 and 243,341.88

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Solution

The fourth proportional to 447,289.80, 617,264.82 and 243,341.88 is: 335,814.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,289.80 : 617,264.82 = 243,341.88 : x
  2. Step 2: Convert to fraction form
    447,289.80/617,264.82 = 243,341.88/x
  3. Step 3: Cross multiply
    447,289.80x = 617,264.82 × 243,341.88
  4. Step 4: Simplify right side
    447,289.80x = 150,206,381,756.66
  5. Step 5: Solve for x
    x = 150,206,381,756.66/447,289.80
  6. Step 6: Final answer
    x = 335,814.46

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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.