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Finding the Fourth Proportional to 419,356.18, 578,735.85 and 315,805

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Solution

The fourth proportional to 419,356.18, 578,735.85 and 315,805 is: 435,829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,356.18 : 578,735.85 = 315,805 : x
  2. Step 2: Convert to fraction form
    419,356.18/578,735.85 = 315,805/x
  3. Step 3: Cross multiply
    419,356.18x = 578,735.85 × 315,805
  4. Step 4: Simplify right side
    419,356.18x = 182,767,675,109.25
  5. Step 5: Solve for x
    x = 182,767,675,109.25/419,356.18
  6. Step 6: Final answer
    x = 435,829.22

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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.