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Finding the Fourth Proportional to 377,428.32, 521,083.80 and 259,758

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Solution

The fourth proportional to 377,428.32, 521,083.80 and 259,758 is: 358,626.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,428.32 : 521,083.80 = 259,758 : x
  2. Step 2: Convert to fraction form
    377,428.32/521,083.80 = 259,758/x
  3. Step 3: Cross multiply
    377,428.32x = 521,083.80 × 259,758
  4. Step 4: Simplify right side
    377,428.32x = 135,355,685,720.40
  5. Step 5: Solve for x
    x = 135,355,685,720.40/377,428.32
  6. Step 6: Final answer
    x = 358,626.20

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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.