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Finding the Fourth Proportional to 458,864.82, 688,735.03 and 281,717.82

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Solution

The fourth proportional to 458,864.82, 688,735.03 and 281,717.82 is: 422,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,864.82 : 688,735.03 = 281,717.82 : x
  2. Step 2: Convert to fraction form
    458,864.82/688,735.03 = 281,717.82/x
  3. Step 3: Cross multiply
    458,864.82x = 688,735.03 × 281,717.82
  4. Step 4: Simplify right side
    458,864.82x = 194,028,931,209.24
  5. Step 5: Solve for x
    x = 194,028,931,209.24/458,864.82
  6. Step 6: Final answer
    x = 422,845.52

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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.