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Finding the Fourth Proportional to 357,642.84, 493,341.84 and 223,273.56

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Solution

The fourth proportional to 357,642.84, 493,341.84 and 223,273.56 is: 307,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,642.84 : 493,341.84 = 223,273.56 : x
  2. Step 2: Convert to fraction form
    357,642.84/493,341.84 = 223,273.56/x
  3. Step 3: Cross multiply
    357,642.84x = 493,341.84 × 223,273.56
  4. Step 4: Simplify right side
    357,642.84x = 110,150,188,913.75
  5. Step 5: Solve for x
    x = 110,150,188,913.75/357,642.84
  6. Step 6: Final answer
    x = 307,989.36

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1.5x scale

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.