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Finding the Fourth Proportional to 472,590.45, 708,701.40 and 206,169.30

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Solution

The fourth proportional to 472,590.45, 708,701.40 and 206,169.30 is: 309,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,590.45 : 708,701.40 = 206,169.30 : x
  2. Step 2: Convert to fraction form
    472,590.45/708,701.40 = 206,169.30/x
  3. Step 3: Cross multiply
    472,590.45x = 708,701.40 × 206,169.30
  4. Step 4: Simplify right side
    472,590.45x = 146,112,471,547.02
  5. Step 5: Solve for x
    x = 146,112,471,547.02/472,590.45
  6. Step 6: Final answer
    x = 309,173.56

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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.