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Finding the Fourth Proportional to 377,430.32, 521,086.56 and 259,760

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Solution

The fourth proportional to 377,430.32, 521,086.56 and 259,760 is: 358,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,430.32 : 521,086.56 = 259,760 : x
  2. Step 2: Convert to fraction form
    377,430.32/521,086.56 = 259,760/x
  3. Step 3: Cross multiply
    377,430.32x = 521,086.56 × 259,760
  4. Step 4: Simplify right side
    377,430.32x = 135,357,444,825.60
  5. Step 5: Solve for x
    x = 135,357,444,825.60/377,430.32
  6. Step 6: Final answer
    x = 358,628.96

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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.