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Finding the Fourth Proportional to 543,314.20, 814,971.30 and 431,339.80

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Solution

The fourth proportional to 543,314.20, 814,971.30 and 431,339.80 is: 647,009.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,314.20 : 814,971.30 = 431,339.80 : x
  2. Step 2: Convert to fraction form
    543,314.20/814,971.30 = 431,339.80/x
  3. Step 3: Cross multiply
    543,314.20x = 814,971.30 × 431,339.80
  4. Step 4: Simplify right side
    543,314.20x = 351,529,557,547.74
  5. Step 5: Solve for x
    x = 351,529,557,547.74/543,314.20
  6. Step 6: Final answer
    x = 647,009.70

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Double scale
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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.