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Finding the Fourth Proportional to 698,382, 963,767.16 and 396,576

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Solution

The fourth proportional to 698,382, 963,767.16 and 396,576 is: 547,274.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,382 : 963,767.16 = 396,576 : x
  2. Step 2: Convert to fraction form
    698,382/963,767.16 = 396,576/x
  3. Step 3: Cross multiply
    698,382x = 963,767.16 × 396,576
  4. Step 4: Simplify right side
    698,382x = 382,206,925,244.16
  5. Step 5: Solve for x
    x = 382,206,925,244.16/698,382
  6. Step 6: Final answer
    x = 547,274.88

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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.