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Finding the Fourth Proportional to 393,256.94, 542,740.65 and 223,516.58

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Solution

The fourth proportional to 393,256.94, 542,740.65 and 223,516.58 is: 308,479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,256.94 : 542,740.65 = 223,516.58 : x
  2. Step 2: Convert to fraction form
    393,256.94/542,740.65 = 223,516.58/x
  3. Step 3: Cross multiply
    393,256.94x = 542,740.65 × 223,516.58
  4. Step 4: Simplify right side
    393,256.94x = 121,311,533,914.98
  5. Step 5: Solve for x
    x = 121,311,533,914.98/393,256.94
  6. Step 6: Final answer
    x = 308,479.07

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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.