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Finding the Fourth Proportional to 393,054.12, 542,416.50 and 223,297.56

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Solution

The fourth proportional to 393,054.12, 542,416.50 and 223,297.56 is: 308,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,054.12 : 542,416.50 = 223,297.56 : x
  2. Step 2: Convert to fraction form
    393,054.12/542,416.50 = 223,297.56/x
  3. Step 3: Cross multiply
    393,054.12x = 542,416.50 × 223,297.56
  4. Step 4: Simplify right side
    393,054.12x = 121,120,280,953.74
  5. Step 5: Solve for x
    x = 121,120,280,953.74/393,054.12
  6. Step 6: Final answer
    x = 308,151.66

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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.