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Finding the Fourth Proportional to 408,066.10, 612,099.15 and 258,475.30

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Solution

The fourth proportional to 408,066.10, 612,099.15 and 258,475.30 is: 387,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,066.10 : 612,099.15 = 258,475.30 : x
  2. Step 2: Convert to fraction form
    408,066.10/612,099.15 = 258,475.30/x
  3. Step 3: Cross multiply
    408,066.10x = 612,099.15 × 258,475.30
  4. Step 4: Simplify right side
    408,066.10x = 158,212,511,426.00
  5. Step 5: Solve for x
    x = 158,212,511,426.00/408,066.10
  6. Step 6: Final answer
    x = 387,712.95

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1.5x scale

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.