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Finding the Fourth Proportional to 419,270.50, 578,603.55 and 228,294.28

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Solution

The fourth proportional to 419,270.50, 578,603.55 and 228,294.28 is: 315,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,270.50 : 578,603.55 = 228,294.28 : x
  2. Step 2: Convert to fraction form
    419,270.50/578,603.55 = 228,294.28/x
  3. Step 3: Cross multiply
    419,270.50x = 578,603.55 × 228,294.28
  4. Step 4: Simplify right side
    419,270.50x = 132,091,880,852.69
  5. Step 5: Solve for x
    x = 132,091,880,852.69/419,270.50
  6. Step 6: Final answer
    x = 315,051.69

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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.