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Finding the Fourth Proportional to 472,209.36, 708,419.28 and 172,683.30

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Solution

The fourth proportional to 472,209.36, 708,419.28 and 172,683.30 is: 259,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,209.36 : 708,419.28 = 172,683.30 : x
  2. Step 2: Convert to fraction form
    472,209.36/708,419.28 = 172,683.30/x
  3. Step 3: Cross multiply
    472,209.36x = 708,419.28 × 172,683.30
  4. Step 4: Simplify right side
    472,209.36x = 122,332,179,054.02
  5. Step 5: Solve for x
    x = 122,332,179,054.02/472,209.36
  6. Step 6: Final answer
    x = 259,063.44

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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.