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Finding the Fourth Proportional to 612,314.40, 918,617.40 and 257,145.60

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Solution

The fourth proportional to 612,314.40, 918,617.40 and 257,145.60 is: 385,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,314.40 : 918,617.40 = 257,145.60 : x
  2. Step 2: Convert to fraction form
    612,314.40/918,617.40 = 257,145.60/x
  3. Step 3: Cross multiply
    612,314.40x = 918,617.40 × 257,145.60
  4. Step 4: Simplify right side
    612,314.40x = 236,218,422,493.44
  5. Step 5: Solve for x
    x = 236,218,422,493.44/612,314.40
  6. Step 6: Final answer
    x = 385,779.63

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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.