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Finding the Fourth Proportional to 408,384.90, 612,577.35 and 400,511.70

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Solution

The fourth proportional to 408,384.90, 612,577.35 and 400,511.70 is: 600,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,384.90 : 612,577.35 = 400,511.70 : x
  2. Step 2: Convert to fraction form
    408,384.90/612,577.35 = 400,511.70/x
  3. Step 3: Cross multiply
    408,384.90x = 612,577.35 × 400,511.70
  4. Step 4: Simplify right side
    408,384.90x = 245,344,395,830.00
  5. Step 5: Solve for x
    x = 245,344,395,830.00/408,384.90
  6. Step 6: Final answer
    x = 600,767.55

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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.