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Finding the Fourth Proportional to 472,492.32, 709,205.04 and 206,436.48

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Solution

The fourth proportional to 472,492.32, 709,205.04 and 206,436.48 is: 309,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,492.32 : 709,205.04 = 206,436.48 : x
  2. Step 2: Convert to fraction form
    472,492.32/709,205.04 = 206,436.48/x
  3. Step 3: Cross multiply
    472,492.32x = 709,205.04 × 206,436.48
  4. Step 4: Simplify right side
    472,492.32x = 146,405,792,055.86
  5. Step 5: Solve for x
    x = 146,405,792,055.86/472,492.32
  6. Step 6: Final answer
    x = 309,858.56

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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.