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Finding the Fourth Proportional to 459,406, 633,980.28 and 258,202

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Solution

The fourth proportional to 459,406, 633,980.28 and 258,202 is: 356,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,406 : 633,980.28 = 258,202 : x
  2. Step 2: Convert to fraction form
    459,406/633,980.28 = 258,202/x
  3. Step 3: Cross multiply
    459,406x = 633,980.28 × 258,202
  4. Step 4: Simplify right side
    459,406x = 163,694,976,256.56
  5. Step 5: Solve for x
    x = 163,694,976,256.56/459,406
  6. Step 6: Final answer
    x = 356,318.76

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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.