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Finding the Fourth Proportional to 698,283.72, 963,622.80 and 396,458.28

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Solution

The fourth proportional to 698,283.72, 963,622.80 and 396,458.28 is: 547,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,283.72 : 963,622.80 = 396,458.28 : x
  2. Step 2: Convert to fraction form
    698,283.72/963,622.80 = 396,458.28/x
  3. Step 3: Cross multiply
    698,283.72x = 963,622.80 × 396,458.28
  4. Step 4: Simplify right side
    698,283.72x = 382,036,237,856.78
  5. Step 5: Solve for x
    x = 382,036,237,856.78/698,283.72
  6. Step 6: Final answer
    x = 547,107.47

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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.