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Finding the Fourth Proportional to 698,350.74, 963,692.94 and 407,989.23

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Solution

The fourth proportional to 698,350.74, 963,692.94 and 407,989.23 is: 563,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,350.74 : 963,692.94 = 407,989.23 : x
  2. Step 2: Convert to fraction form
    698,350.74/963,692.94 = 407,989.23/x
  3. Step 3: Cross multiply
    698,350.74x = 963,692.94 × 407,989.23
  4. Step 4: Simplify right side
    698,350.74x = 393,176,335,728.57
  5. Step 5: Solve for x
    x = 393,176,335,728.57/698,350.74
  6. Step 6: Final answer
    x = 563,006.98

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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.