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Finding the Fourth Proportional to 400,752, 553,046.40 and 221,904

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Solution

The fourth proportional to 400,752, 553,046.40 and 221,904 is: 306,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,752 : 553,046.40 = 221,904 : x
  2. Step 2: Convert to fraction form
    400,752/553,046.40 = 221,904/x
  3. Step 3: Cross multiply
    400,752x = 553,046.40 × 221,904
  4. Step 4: Simplify right side
    400,752x = 122,723,208,345.60
  5. Step 5: Solve for x
    x = 122,723,208,345.60/400,752
  6. Step 6: Final answer
    x = 306,232.30

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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.