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Finding the Fourth Proportional to 400,427.40, 552,582.42 and 219,135.68

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Solution

The fourth proportional to 400,427.40, 552,582.42 and 219,135.68 is: 302,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,427.40 : 552,582.42 = 219,135.68 : x
  2. Step 2: Convert to fraction form
    400,427.40/552,582.42 = 219,135.68/x
  3. Step 3: Cross multiply
    400,427.40x = 552,582.42 × 219,135.68
  4. Step 4: Simplify right side
    400,427.40x = 121,090,521,599.83
  5. Step 5: Solve for x
    x = 121,090,521,599.83/400,427.40
  6. Step 6: Final answer
    x = 302,403.19

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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.