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Finding the Fourth Proportional to 543,313.07, 814,785.05 and 188,244.20

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Solution

The fourth proportional to 543,313.07, 814,785.05 and 188,244.20 is: 282,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,313.07 : 814,785.05 = 188,244.20 : x
  2. Step 2: Convert to fraction form
    543,313.07/814,785.05 = 188,244.20/x
  3. Step 3: Cross multiply
    543,313.07x = 814,785.05 × 188,244.20
  4. Step 4: Simplify right side
    543,313.07x = 153,378,554,894.06
  5. Step 5: Solve for x
    x = 153,378,554,894.06/543,313.07
  6. Step 6: Final answer
    x = 282,302.35

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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.