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Finding the Fourth Proportional to 459,858.51, 689,787.95 and 219,915.68

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Solution

The fourth proportional to 459,858.51, 689,787.95 and 219,915.68 is: 329,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,858.51 : 689,787.95 = 219,915.68 : x
  2. Step 2: Convert to fraction form
    459,858.51/689,787.95 = 219,915.68/x
  3. Step 3: Cross multiply
    459,858.51x = 689,787.95 × 219,915.68
  4. Step 4: Simplify right side
    459,858.51x = 151,695,181,531.54
  5. Step 5: Solve for x
    x = 151,695,181,531.54/459,858.51
  6. Step 6: Final answer
    x = 329,873.60

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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.