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Finding the Fourth Proportional to 354,598.31, 489,343.34 and 201,636.51

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Solution

The fourth proportional to 354,598.31, 489,343.34 and 201,636.51 is: 278,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,598.31 : 489,343.34 = 201,636.51 : x
  2. Step 2: Convert to fraction form
    354,598.31/489,343.34 = 201,636.51/x
  3. Step 3: Cross multiply
    354,598.31x = 489,343.34 × 201,636.51
  4. Step 4: Simplify right side
    354,598.31x = 98,669,482,261.16
  5. Step 5: Solve for x
    x = 98,669,482,261.16/354,598.31
  6. Step 6: Final answer
    x = 278,257.06

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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.