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Finding the Fourth Proportional to 682,182, 941,440.32 and 380,376

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Solution

The fourth proportional to 682,182, 941,440.32 and 380,376 is: 524,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,182 : 941,440.32 = 380,376 : x
  2. Step 2: Convert to fraction form
    682,182/941,440.32 = 380,376/x
  3. Step 3: Cross multiply
    682,182x = 941,440.32 × 380,376
  4. Step 4: Simplify right side
    682,182x = 358,101,303,160.32
  5. Step 5: Solve for x
    x = 358,101,303,160.32/682,182
  6. Step 6: Final answer
    x = 524,935.14

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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.