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Finding the Fourth Proportional to 419,579.92, 579,000.16 and 238,267.92

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Solution

The fourth proportional to 419,579.92, 579,000.16 and 238,267.92 is: 328,798.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,579.92 : 579,000.16 = 238,267.92 : x
  2. Step 2: Convert to fraction form
    419,579.92/579,000.16 = 238,267.92/x
  3. Step 3: Cross multiply
    419,579.92x = 579,000.16 × 238,267.92
  4. Step 4: Simplify right side
    419,579.92x = 137,957,163,802.87
  5. Step 5: Solve for x
    x = 137,957,163,802.87/419,579.92
  6. Step 6: Final answer
    x = 328,798.30

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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.