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Finding the Fourth Proportional to 656,804.78, 906,390.15 and 354,998.78

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Solution

The fourth proportional to 656,804.78, 906,390.15 and 354,998.78 is: 489,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,804.78 : 906,390.15 = 354,998.78 : x
  2. Step 2: Convert to fraction form
    656,804.78/906,390.15 = 354,998.78/x
  3. Step 3: Cross multiply
    656,804.78x = 906,390.15 × 354,998.78
  4. Step 4: Simplify right side
    656,804.78x = 321,767,394,437.43
  5. Step 5: Solve for x
    x = 321,767,394,437.43/656,804.78
  6. Step 6: Final answer
    x = 489,898.07

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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.