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Finding the Fourth Proportional to 472,358.19, 708,783.30 and 206,145.60

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Solution

The fourth proportional to 472,358.19, 708,783.30 and 206,145.60 is: 309,325.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,358.19 : 708,783.30 = 206,145.60 : x
  2. Step 2: Convert to fraction form
    472,358.19/708,783.30 = 206,145.60/x
  3. Step 3: Cross multiply
    472,358.19x = 708,783.30 × 206,145.60
  4. Step 4: Simplify right side
    472,358.19x = 146,112,558,648.48
  5. Step 5: Solve for x
    x = 146,112,558,648.48/472,358.19
  6. Step 6: Final answer
    x = 309,325.77

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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.