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Finding the Fourth Proportional to 472,345.90, 708,445.81 and 172,756.42

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Solution

The fourth proportional to 472,345.90, 708,445.81 and 172,756.42 is: 259,107.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,345.90 : 708,445.81 = 172,756.42 : x
  2. Step 2: Convert to fraction form
    472,345.90/708,445.81 = 172,756.42/x
  3. Step 3: Cross multiply
    472,345.90x = 708,445.81 × 172,756.42
  4. Step 4: Simplify right side
    472,345.90x = 122,388,560,344.43
  5. Step 5: Solve for x
    x = 122,388,560,344.43/472,345.90
  6. Step 6: Final answer
    x = 259,107.91

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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.