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Finding the Fourth Proportional to 688,041.50, 949,636.96 and 397,665.40

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Solution

The fourth proportional to 688,041.50, 949,636.96 and 397,665.40 is: 548,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,041.50 : 949,636.96 = 397,665.40 : x
  2. Step 2: Convert to fraction form
    688,041.50/949,636.96 = 397,665.40/x
  3. Step 3: Cross multiply
    688,041.50x = 949,636.96 × 397,665.40
  4. Step 4: Simplify right side
    688,041.50x = 377,637,761,553.18
  5. Step 5: Solve for x
    x = 377,637,761,553.18/688,041.50
  6. Step 6: Final answer
    x = 548,858.99

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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.