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Finding the Fourth Proportional to 309,725.30, 464,489.54 and 210,522.98

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Solution

The fourth proportional to 309,725.30, 464,489.54 and 210,522.98 is: 315,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,725.30 : 464,489.54 = 210,522.98 : x
  2. Step 2: Convert to fraction form
    309,725.30/464,489.54 = 210,522.98/x
  3. Step 3: Cross multiply
    309,725.30x = 464,489.54 × 210,522.98
  4. Step 4: Simplify right side
    309,725.30x = 97,785,722,139.63
  5. Step 5: Solve for x
    x = 97,785,722,139.63/309,725.30
  6. Step 6: Final answer
    x = 315,717.58

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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.