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Finding the Fourth Proportional to 560,277.34, 773,188.32 and 305,633.86

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Solution

The fourth proportional to 560,277.34, 773,188.32 and 305,633.86 is: 421,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,277.34 : 773,188.32 = 305,633.86 : x
  2. Step 2: Convert to fraction form
    560,277.34/773,188.32 = 305,633.86/x
  3. Step 3: Cross multiply
    560,277.34x = 773,188.32 × 305,633.86
  4. Step 4: Simplify right side
    560,277.34x = 236,312,530,748.52
  5. Step 5: Solve for x
    x = 236,312,530,748.52/560,277.34
  6. Step 6: Final answer
    x = 421,777.78

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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.