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Finding the Fourth Proportional to 686,828.79, 947,872.31 and 380,934.32

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Solution

The fourth proportional to 686,828.79, 947,872.31 and 380,934.32 is: 525,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,828.79 : 947,872.31 = 380,934.32 : x
  2. Step 2: Convert to fraction form
    686,828.79/947,872.31 = 380,934.32/x
  3. Step 3: Cross multiply
    686,828.79x = 947,872.31 × 380,934.32
  4. Step 4: Simplify right side
    686,828.79x = 361,077,087,212.65
  5. Step 5: Solve for x
    x = 361,077,087,212.65/686,828.79
  6. Step 6: Final answer
    x = 525,716.30

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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.