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Finding the Fourth Proportional to 698,513.50, 963,957.32 and 422,867.70

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Solution

The fourth proportional to 698,513.50, 963,957.32 and 422,867.70 is: 583,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,513.50 : 963,957.32 = 422,867.70 : x
  2. Step 2: Convert to fraction form
    698,513.50/963,957.32 = 422,867.70/x
  3. Step 3: Cross multiply
    698,513.50x = 963,957.32 × 422,867.70
  4. Step 4: Simplify right side
    698,513.50x = 407,626,409,077.39
  5. Step 5: Solve for x
    x = 407,626,409,077.39/698,513.50
  6. Step 6: Final answer
    x = 583,562.68

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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.