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Finding the Fourth Proportional to 400,656, 552,923.52 and 221,808

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Solution

The fourth proportional to 400,656, 552,923.52 and 221,808 is: 306,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,656 : 552,923.52 = 221,808 : x
  2. Step 2: Convert to fraction form
    400,656/552,923.52 = 221,808/x
  3. Step 3: Cross multiply
    400,656x = 552,923.52 × 221,808
  4. Step 4: Simplify right side
    400,656x = 122,642,860,124.16
  5. Step 5: Solve for x
    x = 122,642,860,124.16/400,656
  6. Step 6: Final answer
    x = 306,105.14

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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.