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Finding the Fourth Proportional to 475,893.90, 656,788.47 and 284,907.18

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Solution

The fourth proportional to 475,893.90, 656,788.47 and 284,907.18 is: 393,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,893.90 : 656,788.47 = 284,907.18 : x
  2. Step 2: Convert to fraction form
    475,893.90/656,788.47 = 284,907.18/x
  3. Step 3: Cross multiply
    475,893.90x = 656,788.47 × 284,907.18
  4. Step 4: Simplify right side
    475,893.90x = 187,123,750,844.22
  5. Step 5: Solve for x
    x = 187,123,750,844.22/475,893.90
  6. Step 6: Final answer
    x = 393,204.77

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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.