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Finding the Fourth Proportional to 408,045.20, 612,067.80 and 289,072.40

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Solution

The fourth proportional to 408,045.20, 612,067.80 and 289,072.40 is: 433,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.20 : 612,067.80 = 289,072.40 : x
  2. Step 2: Convert to fraction form
    408,045.20/612,067.80 = 289,072.40/x
  3. Step 3: Cross multiply
    408,045.20x = 612,067.80 × 289,072.40
  4. Step 4: Simplify right side
    408,045.20x = 176,931,907,908.72
  5. Step 5: Solve for x
    x = 176,931,907,908.72/408,045.20
  6. Step 6: Final answer
    x = 433,608.60

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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.