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Finding the Fourth Proportional to 561,003.84, 841,812 and 324,807.84

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Solution

The fourth proportional to 561,003.84, 841,812 and 324,807.84 is: 487,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,003.84 : 841,812 = 324,807.84 : x
  2. Step 2: Convert to fraction form
    561,003.84/841,812 = 324,807.84/x
  3. Step 3: Cross multiply
    561,003.84x = 841,812 × 324,807.84
  4. Step 4: Simplify right side
    561,003.84x = 273,427,137,406.08
  5. Step 5: Solve for x
    x = 273,427,137,406.08/561,003.84
  6. Step 6: Final answer
    x = 487,389.07

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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.