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Finding the Fourth Proportional to 657,324.84, 986,395.44 and 420,837.24

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Solution

The fourth proportional to 657,324.84, 986,395.44 and 420,837.24 is: 631,517.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,324.84 : 986,395.44 = 420,837.24 : x
  2. Step 2: Convert to fraction form
    657,324.84/986,395.44 = 420,837.24/x
  3. Step 3: Cross multiply
    657,324.84x = 986,395.44 × 420,837.24
  4. Step 4: Simplify right side
    657,324.84x = 415,111,934,518.19
  5. Step 5: Solve for x
    x = 415,111,934,518.19/657,324.84
  6. Step 6: Final answer
    x = 631,517.19

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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.