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Finding the Fourth Proportional to 547,214.40, 820,821.60 and 395,655.30

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Solution

The fourth proportional to 547,214.40, 820,821.60 and 395,655.30 is: 593,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,214.40 : 820,821.60 = 395,655.30 : x
  2. Step 2: Convert to fraction form
    547,214.40/820,821.60 = 395,655.30/x
  3. Step 3: Cross multiply
    547,214.40x = 820,821.60 × 395,655.30
  4. Step 4: Simplify right side
    547,214.40x = 324,762,416,394.48
  5. Step 5: Solve for x
    x = 324,762,416,394.48/547,214.40
  6. Step 6: Final answer
    x = 593,482.95

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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.