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Finding the Fourth Proportional to 419,355.18, 578,734.47 and 315,804

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Solution

The fourth proportional to 419,355.18, 578,734.47 and 315,804 is: 435,827.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,355.18 : 578,734.47 = 315,804 : x
  2. Step 2: Convert to fraction form
    419,355.18/578,734.47 = 315,804/x
  3. Step 3: Cross multiply
    419,355.18x = 578,734.47 × 315,804
  4. Step 4: Simplify right side
    419,355.18x = 182,766,660,563.88
  5. Step 5: Solve for x
    x = 182,766,660,563.88/419,355.18
  6. Step 6: Final answer
    x = 435,827.84

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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.