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Finding the Fourth Proportional to 313,503.64, 432,703.86 and 206,083.56

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Solution

The fourth proportional to 313,503.64, 432,703.86 and 206,083.56 is: 284,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,503.64 : 432,703.86 = 206,083.56 : x
  2. Step 2: Convert to fraction form
    313,503.64/432,703.86 = 206,083.56/x
  3. Step 3: Cross multiply
    313,503.64x = 432,703.86 × 206,083.56
  4. Step 4: Simplify right side
    313,503.64x = 89,173,151,894.54
  5. Step 5: Solve for x
    x = 89,173,151,894.54/313,503.64
  6. Step 6: Final answer
    x = 284,440.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.