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Finding the Fourth Proportional to 306,126.28, 459,223.80 and 81,495.46

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Solution

The fourth proportional to 306,126.28, 459,223.80 and 81,495.46 is: 122,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,126.28 : 459,223.80 = 81,495.46 : x
  2. Step 2: Convert to fraction form
    306,126.28/459,223.80 = 81,495.46/x
  3. Step 3: Cross multiply
    306,126.28x = 459,223.80 × 81,495.46
  4. Step 4: Simplify right side
    306,126.28x = 37,424,654,823.95
  5. Step 5: Solve for x
    x = 37,424,654,823.95/306,126.28
  6. Step 6: Final answer
    x = 122,252.34

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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.