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Finding the Fourth Proportional to 419,775.66, 579,302.64 and 228,801.42

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Solution

The fourth proportional to 419,775.66, 579,302.64 and 228,801.42 is: 315,752.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,775.66 : 579,302.64 = 228,801.42 : x
  2. Step 2: Convert to fraction form
    419,775.66/579,302.64 = 228,801.42/x
  3. Step 3: Cross multiply
    419,775.66x = 579,302.64 × 228,801.42
  4. Step 4: Simplify right side
    419,775.66x = 132,545,266,641.75
  5. Step 5: Solve for x
    x = 132,545,266,641.75/419,775.66
  6. Step 6: Final answer
    x = 315,752.63

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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.