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Finding the Fourth Proportional to 458,915.34, 688,136.66 and 205,979.00

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Solution

The fourth proportional to 458,915.34, 688,136.66 and 205,979.00 is: 308,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,915.34 : 688,136.66 = 205,979.00 : x
  2. Step 2: Convert to fraction form
    458,915.34/688,136.66 = 205,979.00/x
  3. Step 3: Cross multiply
    458,915.34x = 688,136.66 × 205,979.00
  4. Step 4: Simplify right side
    458,915.34x = 141,741,696,619.56
  5. Step 5: Solve for x
    x = 141,741,696,619.56/458,915.34
  6. Step 6: Final answer
    x = 308,862.41

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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.