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Finding the Fourth Proportional to 408,511.49, 612,783.72 and 142,298.93

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Solution

The fourth proportional to 408,511.49, 612,783.72 and 142,298.93 is: 213,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,511.49 : 612,783.72 = 142,298.93 : x
  2. Step 2: Convert to fraction form
    408,511.49/612,783.72 = 142,298.93/x
  3. Step 3: Cross multiply
    408,511.49x = 612,783.72 × 142,298.93
  4. Step 4: Simplify right side
    408,511.49x = 87,198,467,677.42
  5. Step 5: Solve for x
    x = 87,198,467,677.42/408,511.49
  6. Step 6: Final answer
    x = 213,454.14

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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.