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Finding the Fourth Proportional to 357,853.80, 493,632 and 223,484.52

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Solution

The fourth proportional to 357,853.80, 493,632 and 223,484.52 is: 308,279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,853.80 : 493,632 = 223,484.52 : x
  2. Step 2: Convert to fraction form
    357,853.80/493,632 = 223,484.52/x
  3. Step 3: Cross multiply
    357,853.80x = 493,632 × 223,484.52
  4. Step 4: Simplify right side
    357,853.80x = 110,319,110,576.64
  5. Step 5: Solve for x
    x = 110,319,110,576.64/357,853.80
  6. Step 6: Final answer
    x = 308,279.84

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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.