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Finding the Fourth Proportional to 408,679.49, 612,994.30 and 152,462.72

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Solution

The fourth proportional to 408,679.49, 612,994.30 and 152,462.72 is: 228,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,679.49 : 612,994.30 = 152,462.72 : x
  2. Step 2: Convert to fraction form
    408,679.49/612,994.30 = 152,462.72/x
  3. Step 3: Cross multiply
    408,679.49x = 612,994.30 × 152,462.72
  4. Step 4: Simplify right side
    408,679.49x = 93,458,779,473.83
  5. Step 5: Solve for x
    x = 93,458,779,473.83/408,679.49
  6. Step 6: Final answer
    x = 228,684.78

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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.