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Finding the Fourth Proportional to 402,679.76, 555,699.16 and 221,410.20

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Solution

The fourth proportional to 402,679.76, 555,699.16 and 221,410.20 is: 305,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,679.76 : 555,699.16 = 221,410.20 : x
  2. Step 2: Convert to fraction form
    402,679.76/555,699.16 = 221,410.20/x
  3. Step 3: Cross multiply
    402,679.76x = 555,699.16 × 221,410.20
  4. Step 4: Simplify right side
    402,679.76x = 123,037,462,155.43
  5. Step 5: Solve for x
    x = 123,037,462,155.43/402,679.76
  6. Step 6: Final answer
    x = 305,546.68

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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.