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Finding the Fourth Proportional to 458,705.12, 687,476.40 and 259,137.94

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Solution

The fourth proportional to 458,705.12, 687,476.40 and 259,137.94 is: 388,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,705.12 : 687,476.40 = 259,137.94 : x
  2. Step 2: Convert to fraction form
    458,705.12/687,476.40 = 259,137.94/x
  3. Step 3: Cross multiply
    458,705.12x = 687,476.40 × 259,137.94
  4. Step 4: Simplify right side
    458,705.12x = 178,151,218,094.62
  5. Step 5: Solve for x
    x = 178,151,218,094.62/458,705.12
  6. Step 6: Final answer
    x = 388,378.53

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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.