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Finding the Fourth Proportional to 417,668.47, 625,082.37 and 257,844.94

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Solution

The fourth proportional to 417,668.47, 625,082.37 and 257,844.94 is: 385,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,668.47 : 625,082.37 = 257,844.94 : x
  2. Step 2: Convert to fraction form
    417,668.47/625,082.37 = 257,844.94/x
  3. Step 3: Cross multiply
    417,668.47x = 625,082.37 × 257,844.94
  4. Step 4: Simplify right side
    417,668.47x = 161,174,326,187.71
  5. Step 5: Solve for x
    x = 161,174,326,187.71/417,668.47
  6. Step 6: Final answer
    x = 385,890.58

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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.