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Finding the Fourth Proportional to 400,952, 553,313.76 and 222,104

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Solution

The fourth proportional to 400,952, 553,313.76 and 222,104 is: 306,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,952 : 553,313.76 = 222,104 : x
  2. Step 2: Convert to fraction form
    400,952/553,313.76 = 222,104/x
  3. Step 3: Cross multiply
    400,952x = 553,313.76 × 222,104
  4. Step 4: Simplify right side
    400,952x = 122,893,199,351.04
  5. Step 5: Solve for x
    x = 122,893,199,351.04/400,952
  6. Step 6: Final answer
    x = 306,503.52

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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.