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Finding the Fourth Proportional to 459,405, 633,978.90 and 258,201

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Solution

The fourth proportional to 459,405, 633,978.90 and 258,201 is: 356,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,405 : 633,978.90 = 258,201 : x
  2. Step 2: Convert to fraction form
    459,405/633,978.90 = 258,201/x
  3. Step 3: Cross multiply
    459,405x = 633,978.90 × 258,201
  4. Step 4: Simplify right side
    459,405x = 163,693,985,958.90
  5. Step 5: Solve for x
    x = 163,693,985,958.90/459,405
  6. Step 6: Final answer
    x = 356,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.