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Finding the Fourth Proportional to 402,647.33, 604,069.82 and 200,338.90

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Solution

The fourth proportional to 402,647.33, 604,069.82 and 200,338.90 is: 300,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,647.33 : 604,069.82 = 200,338.90 : x
  2. Step 2: Convert to fraction form
    402,647.33/604,069.82 = 200,338.90/x
  3. Step 3: Cross multiply
    402,647.33x = 604,069.82 × 200,338.90
  4. Step 4: Simplify right side
    402,647.33x = 121,018,683,262.00
  5. Step 5: Solve for x
    x = 121,018,683,262.00/402,647.33
  6. Step 6: Final answer
    x = 300,557.52

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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.