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Finding the Fourth Proportional to 409,638.80, 614,458.20 and 376,461.20

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Solution

The fourth proportional to 409,638.80, 614,458.20 and 376,461.20 is: 564,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,638.80 : 614,458.20 = 376,461.20 : x
  2. Step 2: Convert to fraction form
    409,638.80/614,458.20 = 376,461.20/x
  3. Step 3: Cross multiply
    409,638.80x = 614,458.20 × 376,461.20
  4. Step 4: Simplify right side
    409,638.80x = 231,319,671,321.84
  5. Step 5: Solve for x
    x = 231,319,671,321.84/409,638.80
  6. Step 6: Final answer
    x = 564,691.80

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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.