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Finding the Fourth Proportional to 357,635.85, 493,332.15 and 223,266.57

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Solution

The fourth proportional to 357,635.85, 493,332.15 and 223,266.57 is: 307,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,635.85 : 493,332.15 = 223,266.57 : x
  2. Step 2: Convert to fraction form
    357,635.85/493,332.15 = 223,266.57/x
  3. Step 3: Cross multiply
    357,635.85x = 493,332.15 × 223,266.57
  4. Step 4: Simplify right side
    357,635.85x = 110,144,577,001.23
  5. Step 5: Solve for x
    x = 110,144,577,001.23/357,635.85
  6. Step 6: Final answer
    x = 307,979.69

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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.