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Finding the Fourth Proportional to 357,655.02, 493,441.86 and 221,639.34

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Solution

The fourth proportional to 357,655.02, 493,441.86 and 221,639.34 is: 305,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,655.02 : 493,441.86 = 221,639.34 : x
  2. Step 2: Convert to fraction form
    357,655.02/493,441.86 = 221,639.34/x
  3. Step 3: Cross multiply
    357,655.02x = 493,441.86 × 221,639.34
  4. Step 4: Simplify right side
    357,655.02x = 109,366,126,422.42
  5. Step 5: Solve for x
    x = 109,366,126,422.42/357,655.02
  6. Step 6: Final answer
    x = 305,786.64

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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.