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Finding the Fourth Proportional to 376,790.40, 564,310.80 and 257,817.60

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Solution

The fourth proportional to 376,790.40, 564,310.80 and 257,817.60 is: 386,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,790.40 : 564,310.80 = 257,817.60 : x
  2. Step 2: Convert to fraction form
    376,790.40/564,310.80 = 257,817.60/x
  3. Step 3: Cross multiply
    376,790.40x = 564,310.80 × 257,817.60
  4. Step 4: Simplify right side
    376,790.40x = 145,489,256,110.08
  5. Step 5: Solve for x
    x = 145,489,256,110.08/376,790.40
  6. Step 6: Final answer
    x = 386,127.82

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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.