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Finding the Fourth Proportional to 328,649.98, 493,029.45 and 115,362.55

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Solution

The fourth proportional to 328,649.98, 493,029.45 and 115,362.55 is: 173,062.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,649.98 : 493,029.45 = 115,362.55 : x
  2. Step 2: Convert to fraction form
    328,649.98/493,029.45 = 115,362.55/x
  3. Step 3: Cross multiply
    328,649.98x = 493,029.45 × 115,362.55
  4. Step 4: Simplify right side
    328,649.98x = 56,877,133,344.52
  5. Step 5: Solve for x
    x = 56,877,133,344.52/328,649.98
  6. Step 6: Final answer
    x = 173,062.95

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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.