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Finding the Fourth Proportional to 458,896.14, 687,566.88 and 281,031.48

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Solution

The fourth proportional to 458,896.14, 687,566.88 and 281,031.48 is: 421,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,896.14 : 687,566.88 = 281,031.48 : x
  2. Step 2: Convert to fraction form
    458,896.14/687,566.88 = 281,031.48/x
  3. Step 3: Cross multiply
    458,896.14x = 687,566.88 × 281,031.48
  4. Step 4: Simplify right side
    458,896.14x = 193,227,937,885.38
  5. Step 5: Solve for x
    x = 193,227,937,885.38/458,896.14
  6. Step 6: Final answer
    x = 421,071.18

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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.