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Finding the Fourth Proportional to 399,838.74, 599,461.82 and 242,029.86

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Solution

The fourth proportional to 399,838.74, 599,461.82 and 242,029.86 is: 362,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,838.74 : 599,461.82 = 242,029.86 : x
  2. Step 2: Convert to fraction form
    399,838.74/599,461.82 = 242,029.86/x
  3. Step 3: Cross multiply
    399,838.74x = 599,461.82 × 242,029.86
  4. Step 4: Simplify right side
    399,838.74x = 145,087,660,369.95
  5. Step 5: Solve for x
    x = 145,087,660,369.95/399,838.74
  6. Step 6: Final answer
    x = 362,865.44

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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.