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Finding the Fourth Proportional to 1,206,793, 1,810,422.42 and 458,780.68

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Solution

The fourth proportional to 1,206,793, 1,810,422.42 and 458,780.68 is: 688,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,793 : 1,810,422.42 = 458,780.68 : x
  2. Step 2: Convert to fraction form
    1,206,793/1,810,422.42 = 458,780.68/x
  3. Step 3: Cross multiply
    1,206,793x = 1,810,422.42 × 458,780.68
  4. Step 4: Simplify right side
    1,206,793x = 830,586,828,934.85
  5. Step 5: Solve for x
    x = 830,586,828,934.85/1,206,793
  6. Step 6: Final answer
    x = 688,259.57

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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.