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Finding the Fourth Proportional to 698,167, 963,470.46 and 380,215

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Solution

The fourth proportional to 698,167, 963,470.46 and 380,215 is: 524,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,167 : 963,470.46 = 380,215 : x
  2. Step 2: Convert to fraction form
    698,167/963,470.46 = 380,215/x
  3. Step 3: Cross multiply
    698,167x = 963,470.46 × 380,215
  4. Step 4: Simplify right side
    698,167x = 366,325,920,948.90
  5. Step 5: Solve for x
    x = 366,325,920,948.90/698,167
  6. Step 6: Final answer
    x = 524,696.70

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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.