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Finding the Fourth Proportional to 402,811.60, 555,894.28 and 221,537.56

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Solution

The fourth proportional to 402,811.60, 555,894.28 and 221,537.56 is: 305,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,811.60 : 555,894.28 = 221,537.56 : x
  2. Step 2: Convert to fraction form
    402,811.60/555,894.28 = 221,537.56/x
  3. Step 3: Cross multiply
    402,811.60x = 555,894.28 × 221,537.56
  4. Step 4: Simplify right side
    402,811.60x = 123,151,462,409.16
  5. Step 5: Solve for x
    x = 123,151,462,409.16/402,811.60
  6. Step 6: Final answer
    x = 305,729.68

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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.