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Finding the Fourth Proportional to 385,635.76, 531,803.48 and 300,721.84

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Solution

The fourth proportional to 385,635.76, 531,803.48 and 300,721.84 is: 414,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,635.76 : 531,803.48 = 300,721.84 : x
  2. Step 2: Convert to fraction form
    385,635.76/531,803.48 = 300,721.84/x
  3. Step 3: Cross multiply
    385,635.76x = 531,803.48 × 300,721.84
  4. Step 4: Simplify right side
    385,635.76x = 159,924,921,024.00
  5. Step 5: Solve for x
    x = 159,924,921,024.00/385,635.76
  6. Step 6: Final answer
    x = 414,704.59

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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.