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Finding the Fourth Proportional to 523,603.42, 785,800.68 and 419,677.18

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Solution

The fourth proportional to 523,603.42, 785,800.68 and 419,677.18 is: 629,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,603.42 : 785,800.68 = 419,677.18 : x
  2. Step 2: Convert to fraction form
    523,603.42/785,800.68 = 419,677.18/x
  3. Step 3: Cross multiply
    523,603.42x = 785,800.68 × 419,677.18
  4. Step 4: Simplify right side
    523,603.42x = 329,782,613,424.48
  5. Step 5: Solve for x
    x = 329,782,613,424.48/523,603.42
  6. Step 6: Final answer
    x = 629,832.81

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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.