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Finding the Fourth Proportional to 472,566.45, 708,665.40 and 206,145.30

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Solution

The fourth proportional to 472,566.45, 708,665.40 and 206,145.30 is: 309,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566.45 : 708,665.40 = 206,145.30 : x
  2. Step 2: Convert to fraction form
    472,566.45/708,665.40 = 206,145.30/x
  3. Step 3: Cross multiply
    472,566.45x = 708,665.40 × 206,145.30
  4. Step 4: Simplify right side
    472,566.45x = 146,088,041,482.62
  5. Step 5: Solve for x
    x = 146,088,041,482.62/472,566.45
  6. Step 6: Final answer
    x = 309,137.56

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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.