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Finding the Fourth Proportional to 408,045.45, 612,068.18 and 289,072.65

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Solution

The fourth proportional to 408,045.45, 612,068.18 and 289,072.65 is: 433,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045.45 : 612,068.18 = 289,072.65 : x
  2. Step 2: Convert to fraction form
    408,045.45/612,068.18 = 289,072.65/x
  3. Step 3: Cross multiply
    408,045.45x = 612,068.18 × 289,072.65
  4. Step 4: Simplify right side
    408,045.45x = 176,932,169,327.91
  5. Step 5: Solve for x
    x = 176,932,169,327.91/408,045.45
  6. Step 6: Final answer
    x = 433,608.98

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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.