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Finding the Fourth Proportional to 560,034.58, 772,846.26 and 305,385.76

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Solution

The fourth proportional to 560,034.58, 772,846.26 and 305,385.76 is: 421,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,034.58 : 772,846.26 = 305,385.76 : x
  2. Step 2: Convert to fraction form
    560,034.58/772,846.26 = 305,385.76/x
  3. Step 3: Cross multiply
    560,034.58x = 772,846.26 × 305,385.76
  4. Step 4: Simplify right side
    560,034.58x = 236,016,242,473.26
  5. Step 5: Solve for x
    x = 236,016,242,473.26/560,034.58
  6. Step 6: Final answer
    x = 421,431.55

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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.