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Finding the Fourth Proportional to 491,497.76, 737,345.04 and 154,623.20

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Solution

The fourth proportional to 491,497.76, 737,345.04 and 154,623.20 is: 231,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,497.76 : 737,345.04 = 154,623.20 : x
  2. Step 2: Convert to fraction form
    491,497.76/737,345.04 = 154,623.20/x
  3. Step 3: Cross multiply
    491,497.76x = 737,345.04 × 154,623.20
  4. Step 4: Simplify right side
    491,497.76x = 114,010,649,588.93
  5. Step 5: Solve for x
    x = 114,010,649,588.93/491,497.76
  6. Step 6: Final answer
    x = 231,965.76

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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.