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Finding the Fourth Proportional to 309,353.61, 426,813.98 and 194,746.66

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Solution

The fourth proportional to 309,353.61, 426,813.98 and 194,746.66 is: 268,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,353.61 : 426,813.98 = 194,746.66 : x
  2. Step 2: Convert to fraction form
    309,353.61/426,813.98 = 194,746.66/x
  3. Step 3: Cross multiply
    309,353.61x = 426,813.98 × 194,746.66
  4. Step 4: Simplify right side
    309,353.61x = 83,120,597,406.37
  5. Step 5: Solve for x
    x = 83,120,597,406.37/309,353.61
  6. Step 6: Final answer
    x = 268,691.21

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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.