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Finding the Fourth Proportional to 340,273.51, 510,348.30 and 100,337.74

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Solution

The fourth proportional to 340,273.51, 510,348.30 and 100,337.74 is: 150,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,273.51 : 510,348.30 = 100,337.74 : x
  2. Step 2: Convert to fraction form
    340,273.51/510,348.30 = 100,337.74/x
  3. Step 3: Cross multiply
    340,273.51x = 510,348.30 × 100,337.74
  4. Step 4: Simplify right side
    340,273.51x = 51,207,193,382.70
  5. Step 5: Solve for x
    x = 51,207,193,382.70/340,273.51
  6. Step 6: Final answer
    x = 150,488.33

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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.