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Finding the Fourth Proportional to 612,234.40, 918,497.40 and 257,065.60

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Solution

The fourth proportional to 612,234.40, 918,497.40 and 257,065.60 is: 385,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,234.40 : 918,497.40 = 257,065.60 : x
  2. Step 2: Convert to fraction form
    612,234.40/918,497.40 = 257,065.60/x
  3. Step 3: Cross multiply
    612,234.40x = 918,497.40 × 257,065.60
  4. Step 4: Simplify right side
    612,234.40x = 236,114,085,229.44
  5. Step 5: Solve for x
    x = 236,114,085,229.44/612,234.40
  6. Step 6: Final answer
    x = 385,659.62

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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.