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Finding the Fourth Proportional to 400,963, 553,328.94 and 222,115

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Solution

The fourth proportional to 400,963, 553,328.94 and 222,115 is: 306,518.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,963 : 553,328.94 = 222,115 : x
  2. Step 2: Convert to fraction form
    400,963/553,328.94 = 222,115/x
  3. Step 3: Cross multiply
    400,963x = 553,328.94 × 222,115
  4. Step 4: Simplify right side
    400,963x = 122,902,657,508.10
  5. Step 5: Solve for x
    x = 122,902,657,508.10/400,963
  6. Step 6: Final answer
    x = 306,518.70

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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.