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Finding the Fourth Proportional to 408,030.08, 612,044.64 and 141,790.61

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Solution

The fourth proportional to 408,030.08, 612,044.64 and 141,790.61 is: 212,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,030.08 : 612,044.64 = 141,790.61 : x
  2. Step 2: Convert to fraction form
    408,030.08/612,044.64 = 141,790.61/x
  3. Step 3: Cross multiply
    408,030.08x = 612,044.64 × 141,790.61
  4. Step 4: Simplify right side
    408,030.08x = 86,782,184,382.94
  5. Step 5: Solve for x
    x = 86,782,184,382.94/408,030.08
  6. Step 6: Final answer
    x = 212,685.75

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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.