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Finding the Fourth Proportional to 357,728.06, 493,459.15 and 223,358.78

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Solution

The fourth proportional to 357,728.06, 493,459.15 and 223,358.78 is: 308,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,728.06 : 493,459.15 = 223,358.78 : x
  2. Step 2: Convert to fraction form
    357,728.06/493,459.15 = 223,358.78/x
  3. Step 3: Cross multiply
    357,728.06x = 493,459.15 × 223,358.78
  4. Step 4: Simplify right side
    357,728.06x = 110,218,433,723.84
  5. Step 5: Solve for x
    x = 110,218,433,723.84/357,728.06
  6. Step 6: Final answer
    x = 308,106.76

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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.