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Finding the Fourth Proportional to 543,212.69, 749,668.55 and 301,495.28

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Solution

The fourth proportional to 543,212.69, 749,668.55 and 301,495.28 is: 416,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,212.69 : 749,668.55 = 301,495.28 : x
  2. Step 2: Convert to fraction form
    543,212.69/749,668.55 = 301,495.28/x
  3. Step 3: Cross multiply
    543,212.69x = 749,668.55 × 301,495.28
  4. Step 4: Simplify right side
    543,212.69x = 226,021,527,881.97
  5. Step 5: Solve for x
    x = 226,021,527,881.97/543,212.69
  6. Step 6: Final answer
    x = 416,082.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.