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Finding the Fourth Proportional to 512,995.83, 769,506.98 and 243,060.63

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Solution

The fourth proportional to 512,995.83, 769,506.98 and 243,060.63 is: 364,597.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,995.83 : 769,506.98 = 243,060.63 : x
  2. Step 2: Convert to fraction form
    512,995.83/769,506.98 = 243,060.63/x
  3. Step 3: Cross multiply
    512,995.83x = 769,506.98 × 243,060.63
  4. Step 4: Simplify right side
    512,995.83x = 187,036,850,132.89
  5. Step 5: Solve for x
    x = 187,036,850,132.89/512,995.83
  6. Step 6: Final answer
    x = 364,597.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.