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Finding the Fourth Proportional to 547,911.20, 821,283.60 and 210,821.60

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Solution

The fourth proportional to 547,911.20, 821,283.60 and 210,821.60 is: 316,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,911.20 : 821,283.60 = 210,821.60 : x
  2. Step 2: Convert to fraction form
    547,911.20/821,283.60 = 210,821.60/x
  3. Step 3: Cross multiply
    547,911.20x = 821,283.60 × 210,821.60
  4. Step 4: Simplify right side
    547,911.20x = 173,144,322,605.76
  5. Step 5: Solve for x
    x = 173,144,322,605.76/547,911.20
  6. Step 6: Final answer
    x = 316,008.00

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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.