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Finding the Fourth Proportional to 820,436.12, 1,230,784.30 and 347,125

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Solution

The fourth proportional to 820,436.12, 1,230,784.30 and 347,125 is: 520,742.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,436.12 : 1,230,784.30 = 347,125 : x
  2. Step 2: Convert to fraction form
    820,436.12/1,230,784.30 = 347,125/x
  3. Step 3: Cross multiply
    820,436.12x = 1,230,784.30 × 347,125
  4. Step 4: Simplify right side
    820,436.12x = 427,236,000,137.50
  5. Step 5: Solve for x
    x = 427,236,000,137.50/820,436.12
  6. Step 6: Final answer
    x = 520,742.55

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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.