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Finding the Fourth Proportional to 357,785.28, 493,538.10 and 223,416

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Solution

The fourth proportional to 357,785.28, 493,538.10 and 223,416 is: 308,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,785.28 : 493,538.10 = 223,416 : x
  2. Step 2: Convert to fraction form
    357,785.28/493,538.10 = 223,416/x
  3. Step 3: Cross multiply
    357,785.28x = 493,538.10 × 223,416
  4. Step 4: Simplify right side
    357,785.28x = 110,264,308,149.60
  5. Step 5: Solve for x
    x = 110,264,308,149.60/357,785.28
  6. Step 6: Final answer
    x = 308,185.70

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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.