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Finding the Fourth Proportional to 454,711.71, 681,461.61 and 214,889.31

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Solution

The fourth proportional to 454,711.71, 681,461.61 and 214,889.31 is: 322,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,711.71 : 681,461.61 = 214,889.31 : x
  2. Step 2: Convert to fraction form
    454,711.71/681,461.61 = 214,889.31/x
  3. Step 3: Cross multiply
    454,711.71x = 681,461.61 × 214,889.31
  4. Step 4: Simplify right side
    454,711.71x = 146,438,815,164.39
  5. Step 5: Solve for x
    x = 146,438,815,164.39/454,711.71
  6. Step 6: Final answer
    x = 322,047.60

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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.