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Finding the Fourth Proportional to 471,065.34, 650,078.40 and 256,206.86

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Solution

The fourth proportional to 471,065.34, 650,078.40 and 256,206.86 is: 353,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,065.34 : 650,078.40 = 256,206.86 : x
  2. Step 2: Convert to fraction form
    471,065.34/650,078.40 = 256,206.86/x
  3. Step 3: Cross multiply
    471,065.34x = 650,078.40 × 256,206.86
  4. Step 4: Simplify right side
    471,065.34x = 166,554,545,617.82
  5. Step 5: Solve for x
    x = 166,554,545,617.82/471,065.34
  6. Step 6: Final answer
    x = 353,569.94

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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.