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Finding the Fourth Proportional to 657,475.20, 986,139.90 and 538,939.80

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Solution

The fourth proportional to 657,475.20, 986,139.90 and 538,939.80 is: 808,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,475.20 : 986,139.90 = 538,939.80 : x
  2. Step 2: Convert to fraction form
    657,475.20/986,139.90 = 538,939.80/x
  3. Step 3: Cross multiply
    657,475.20x = 986,139.90 × 538,939.80
  4. Step 4: Simplify right side
    657,475.20x = 531,470,040,478.02
  5. Step 5: Solve for x
    x = 531,470,040,478.02/657,475.20
  6. Step 6: Final answer
    x = 808,349.94

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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.