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Finding the Fourth Proportional to 543,348.81, 814,984.74 and 143,980.74

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Solution

The fourth proportional to 543,348.81, 814,984.74 and 143,980.74 is: 215,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,348.81 : 814,984.74 = 143,980.74 : x
  2. Step 2: Convert to fraction form
    543,348.81/814,984.74 = 143,980.74/x
  3. Step 3: Cross multiply
    543,348.81x = 814,984.74 × 143,980.74
  4. Step 4: Simplify right side
    543,348.81x = 117,342,105,953.91
  5. Step 5: Solve for x
    x = 117,342,105,953.91/543,348.81
  6. Step 6: Final answer
    x = 215,960.91

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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.