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Finding the Fourth Proportional to 657,638.40, 986,457.60 and 551,350.20

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Solution

The fourth proportional to 657,638.40, 986,457.60 and 551,350.20 is: 827,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,638.40 : 986,457.60 = 551,350.20 : x
  2. Step 2: Convert to fraction form
    657,638.40/986,457.60 = 551,350.20/x
  3. Step 3: Cross multiply
    657,638.40x = 986,457.60 × 551,350.20
  4. Step 4: Simplify right side
    657,638.40x = 543,883,595,051.52
  5. Step 5: Solve for x
    x = 543,883,595,051.52/657,638.40
  6. Step 6: Final answer
    x = 827,025.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.