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Finding the Fourth Proportional to 408,515.74, 612,790.08 and 142,303.18

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Solution

The fourth proportional to 408,515.74, 612,790.08 and 142,303.18 is: 213,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,515.74 : 612,790.08 = 142,303.18 : x
  2. Step 2: Convert to fraction form
    408,515.74/612,790.08 = 142,303.18/x
  3. Step 3: Cross multiply
    408,515.74x = 612,790.08 × 142,303.18
  4. Step 4: Simplify right side
    408,515.74x = 87,201,977,056.45
  5. Step 5: Solve for x
    x = 87,201,977,056.45/408,515.74
  6. Step 6: Final answer
    x = 213,460.51

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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.