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Finding the Fourth Proportional to 492,642, 739,070.19 and 151,085.61

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Solution

The fourth proportional to 492,642, 739,070.19 and 151,085.61 is: 226,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,642 : 739,070.19 = 151,085.61 : x
  2. Step 2: Convert to fraction form
    492,642/739,070.19 = 151,085.61/x
  3. Step 3: Cross multiply
    492,642x = 739,070.19 × 151,085.61
  4. Step 4: Simplify right side
    492,642x = 111,662,870,488.97
  5. Step 5: Solve for x
    x = 111,662,870,488.97/492,642
  6. Step 6: Final answer
    x = 226,661.29

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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.