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Finding the Fourth Proportional to 259,583, 357,900 and 216,624.38

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Solution

The fourth proportional to 259,583, 357,900 and 216,624.38 is: 298,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,583 : 357,900 = 216,624.38 : x
  2. Step 2: Convert to fraction form
    259,583/357,900 = 216,624.38/x
  3. Step 3: Cross multiply
    259,583x = 357,900 × 216,624.38
  4. Step 4: Simplify right side
    259,583x = 77,529,865,602
  5. Step 5: Solve for x
    x = 77,529,865,602/259,583
  6. Step 6: Final answer
    x = 298,670.81

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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.