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Finding the Fourth Proportional to 408,401.84, 563,513.82 and 247,271.88

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Solution

The fourth proportional to 408,401.84, 563,513.82 and 247,271.88 is: 341,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,401.84 : 563,513.82 = 247,271.88 : x
  2. Step 2: Convert to fraction form
    408,401.84/563,513.82 = 247,271.88/x
  3. Step 3: Cross multiply
    408,401.84x = 563,513.82 × 247,271.88
  4. Step 4: Simplify right side
    408,401.84x = 139,341,121,677.38
  5. Step 5: Solve for x
    x = 139,341,121,677.38/408,401.84
  6. Step 6: Final answer
    x = 341,186.32

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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.