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Finding the Fourth Proportional to 547,891.40, 821,318.70 and 323,424.20

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Solution

The fourth proportional to 547,891.40, 821,318.70 and 323,424.20 is: 484,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,891.40 : 821,318.70 = 323,424.20 : x
  2. Step 2: Convert to fraction form
    547,891.40/821,318.70 = 323,424.20/x
  3. Step 3: Cross multiply
    547,891.40x = 821,318.70 × 323,424.20
  4. Step 4: Simplify right side
    547,891.40x = 265,634,343,492.54
  5. Step 5: Solve for x
    x = 265,634,343,492.54/547,891.40
  6. Step 6: Final answer
    x = 484,830.28

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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.