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Finding the Fourth Proportional to 419,033.16, 578,254.68 and 228,042.45

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Solution

The fourth proportional to 419,033.16, 578,254.68 and 228,042.45 is: 314,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,033.16 : 578,254.68 = 228,042.45 : x
  2. Step 2: Convert to fraction form
    419,033.16/578,254.68 = 228,042.45/x
  3. Step 3: Cross multiply
    419,033.16x = 578,254.68 × 228,042.45
  4. Step 4: Simplify right side
    419,033.16x = 131,866,613,951.17
  5. Step 5: Solve for x
    x = 131,866,613,951.17/419,033.16
  6. Step 6: Final answer
    x = 314,692.55

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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.