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Finding the Fourth Proportional to 670,434, 1,005,454.16 and 197,006.80

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Solution

The fourth proportional to 670,434, 1,005,454.16 and 197,006.80 is: 295,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,434 : 1,005,454.16 = 197,006.80 : x
  2. Step 2: Convert to fraction form
    670,434/1,005,454.16 = 197,006.80/x
  3. Step 3: Cross multiply
    670,434x = 1,005,454.16 × 197,006.80
  4. Step 4: Simplify right side
    670,434x = 198,081,306,608.29
  5. Step 5: Solve for x
    x = 198,081,306,608.29/670,434
  6. Step 6: Final answer
    x = 295,452.36

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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.