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Finding the Fourth Proportional to 313,722.51, 432,718.16 and 206,258.19

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Solution

The fourth proportional to 313,722.51, 432,718.16 and 206,258.19 is: 284,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,722.51 : 432,718.16 = 206,258.19 : x
  2. Step 2: Convert to fraction form
    313,722.51/432,718.16 = 206,258.19/x
  3. Step 3: Cross multiply
    313,722.51x = 432,718.16 × 206,258.19
  4. Step 4: Simplify right side
    313,722.51x = 89,251,664,461.73
  5. Step 5: Solve for x
    x = 89,251,664,461.73/313,722.51
  6. Step 6: Final answer
    x = 284,492.38

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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.