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Finding the Fourth Proportional to 458,866.82, 688,738.04 and 281,719.82

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Solution

The fourth proportional to 458,866.82, 688,738.04 and 281,719.82 is: 422,848.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.82 : 688,738.04 = 281,719.82 : x
  2. Step 2: Convert to fraction form
    458,866.82/688,738.04 = 281,719.82/x
  3. Step 3: Cross multiply
    458,866.82x = 688,738.04 × 281,719.82
  4. Step 4: Simplify right side
    458,866.82x = 194,031,156,655.95
  5. Step 5: Solve for x
    x = 194,031,156,655.95/458,866.82
  6. Step 6: Final answer
    x = 422,848.52

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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.