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Finding the Fourth Proportional to 419,967.40, 579,557.73 and 228,983.98

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Solution

The fourth proportional to 419,967.40, 579,557.73 and 228,983.98 is: 315,999.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,967.40 : 579,557.73 = 228,983.98 : x
  2. Step 2: Convert to fraction form
    419,967.40/579,557.73 = 228,983.98/x
  3. Step 3: Cross multiply
    419,967.40x = 579,557.73 × 228,983.98
  4. Step 4: Simplify right side
    419,967.40x = 132,709,435,655.17
  5. Step 5: Solve for x
    x = 132,709,435,655.17/419,967.40
  6. Step 6: Final answer
    x = 315,999.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.