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Finding the Fourth Proportional to 408,106.34, 612,222.89 and 208,318.62

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Solution

The fourth proportional to 408,106.34, 612,222.89 and 208,318.62 is: 312,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106.34 : 612,222.89 = 208,318.62 : x
  2. Step 2: Convert to fraction form
    408,106.34/612,222.89 = 208,318.62/x
  3. Step 3: Cross multiply
    408,106.34x = 612,222.89 × 208,318.62
  4. Step 4: Simplify right side
    408,106.34x = 127,537,426,535.62
  5. Step 5: Solve for x
    x = 127,537,426,535.62/408,106.34
  6. Step 6: Final answer
    x = 312,510.28

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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.