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Finding the Fourth Proportional to 472,426.56, 708,636.84 and 172,928

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Solution

The fourth proportional to 472,426.56, 708,636.84 and 172,928 is: 259,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,426.56 : 708,636.84 = 172,928 : x
  2. Step 2: Convert to fraction form
    472,426.56/708,636.84 = 172,928/x
  3. Step 3: Cross multiply
    472,426.56x = 708,636.84 × 172,928
  4. Step 4: Simplify right side
    472,426.56x = 122,543,151,467.52
  5. Step 5: Solve for x
    x = 122,543,151,467.52/472,426.56
  6. Step 6: Final answer
    x = 259,390.90

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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.