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Finding the Fourth Proportional to 561,011.84, 841,824 and 324,815.84

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Solution

The fourth proportional to 561,011.84, 841,824 and 324,815.84 is: 487,401.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,011.84 : 841,824 = 324,815.84 : x
  2. Step 2: Convert to fraction form
    561,011.84/841,824 = 324,815.84/x
  3. Step 3: Cross multiply
    561,011.84x = 841,824 × 324,815.84
  4. Step 4: Simplify right side
    561,011.84x = 273,437,769,692.16
  5. Step 5: Solve for x
    x = 273,437,769,692.16/561,011.84
  6. Step 6: Final answer
    x = 487,401.07

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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.