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Finding the Fourth Proportional to 657,804.48, 907,744.56 and 412,920.96

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Solution

The fourth proportional to 657,804.48, 907,744.56 and 412,920.96 is: 569,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,804.48 : 907,744.56 = 412,920.96 : x
  2. Step 2: Convert to fraction form
    657,804.48/907,744.56 = 412,920.96/x
  3. Step 3: Cross multiply
    657,804.48x = 907,744.56 × 412,920.96
  4. Step 4: Simplify right side
    657,804.48x = 374,826,755,149.98
  5. Step 5: Solve for x
    x = 374,826,755,149.98/657,804.48
  6. Step 6: Final answer
    x = 569,814.84

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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.