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Finding the Fourth Proportional to 357,783.28, 493,535.34 and 223,414

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Solution

The fourth proportional to 357,783.28, 493,535.34 and 223,414 is: 308,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,783.28 : 493,535.34 = 223,414 : x
  2. Step 2: Convert to fraction form
    357,783.28/493,535.34 = 223,414/x
  3. Step 3: Cross multiply
    357,783.28x = 493,535.34 × 223,414
  4. Step 4: Simplify right side
    357,783.28x = 110,262,703,333.69
  5. Step 5: Solve for x
    x = 110,262,703,333.69/357,783.28
  6. Step 6: Final answer
    x = 308,182.94

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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.